I found some more illegitimate births in the 1880s where the mother's name was given as Jane Mylchreest, and decided to follow them up to see if there's any evidence to show (or disprove) that they all belong to the same Jane. I'm posting the notes I made because there may be some info which will be useful to someone in the future who uses the search function.

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Baptisms from IGI of Jane Mylchreest in IOM in 1860s:

JM1)----Eliza Jane, 17 Jan 1864 St Marks, Malew, to Thomas Mylchreest and Esther Corrin.

JM2)-----Jane, 11 June 1865 St Barnabas to William Mylchreest and Catherine.

JM3)-----Jane, 11 Feb 1866 Braddan to Ann Mylchreest (no father's name given)

JM4)-----Jane, 8 March 1867 Marown to John Mylchreest and Betsey.

JM5)-----(Also Jane Stephen Mylchreest 24 Oct 1858 Malew to Humphrey Mylchreest and Ann-----this Jane gave her age as 29 in 1891 so I've included her here)

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Identifying which Jane is which:
From census index:

1871
MYLCHREEST Jane 7 Rushen 5778 80 89
MYLCHREEST Jane 5 Douglas 5776 124 134
MYLCHREEST Jane 5 Douglas 5775 48 41
MYLCHREEST Jane 4 Arbory 5778 6 62

The 7 yr old is dau of Thomas M and Esther Corrin, all b Rushen (JM1)

A 5 yr old b Braddan is a granddaughter of Jonah and Jane Mylchreest, living in Douglas. (JM3)

The other 5 yr old (b Douglas) is the daughter of Wm and Cath Mylchreest, living in Douglas. (JM2)

The 4 yr old b Marown is daughter of John and Elizabeth, living at Friary, Arbory. (JM4)

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1881

14 yr old b Marown is daughter of John and Elizabeth, living in Douglas. (JM4)

15 yr old b Douglas is a niece with Robert and Ann Vondy, living in Douglas. (JM2 or JM3---can't find the other one)

17 yr old b Malew is servant at Balladoole, Arbory. Meanwhile, Thomas and Esther (parents of 7 yr old Jane in 1871) have no Jane in their household, and they are living near Ballasalla. (JM1)

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1891
MYLCHREEST Jane 29 Malew 4690 115 53
MYLCHREEST Jane 27 Douglas 4687 69 21
MYLCHREEST Jane 24 Douglas 4689 31 115

The 27 yr old is an unmarried servant chambermaid b Malew in a hotel in Onchan ---I think she's the daughter of Thomas and Esther Mylchreest who in 1881 are living at Billown Cottage, Malew, near Ballasalla. Also in the same hotel as Jane is a Joseph Rane age 24 b Hereford. They marry in Stoke upon Trent in 1892. (JM1)

The 29 yr old is b Malew, daughter of Humphrey (farmer) and Ann at Ballamoda Moar Malew ( she was age 12 in 1871). She seems unlikely to be the mother of illegitimate Jessie Ann b 1883. (JM5)

The 24 yr old b Marown is the unmarried daughter of John (general labourer b Arbory) and Elizabeth. Living in Douglas. (JM4)

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marriage
MYLCHREEST, Jane 8 Jan 1888 D dsm 7 WILSON, Thomas

This Jane is a 25 yr old b Douglas in 1891 (By process of elimination, this should be JM3, although she gave her father's name as John Mylchreest ---from IGI marriage)

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marriage
MYLCHREEST, Jeanie 3 Aug 1890 D dst 56b LITTLE, Charles Henry

This Janie is a 24 yr old b Douglas in 1891 (JM2---father's name William Henry Mylchreest from IGI marriage)

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JM4----Marown born Jane married John Webster in Liverpool Dec Q 1896. The couple lived with Jane's parents in 1901 and 1911, no children. Highly unlikely to be the mother of any of the illegit children born to a Jane Mylchreest in 1880s. But having said that, 2 of those children are living at 3 The Archway, South Quay, Douglas, in 1901, very near to Jane Webster nee Mylchreest (at 1 South Quay)

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JM1 married Joseph Rane in Stoke upon Trent in 1892.
They had 3 children, Cath Jane b 1893, Joseph b 1895 and William b 1898, all registered in Stoke on Trent.
Joseph sr died in 1899 and Jane then married John Smith in 1901.
In 1911 William Rane was an orphan nephew living with Edward Mylchreest and his family in Walton on the Hill, Liverpool. Edward was Jane's brother, proving that the Jane who married Joseph Rane was the daughter of Thomas Mylchreest and Esther Corrin, the Billown, Malew family. This Jane was almost certainly the mother of Jessie Ann Mylchreest b 1883.

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1901
72 Lower Mayer St, Hanley, Staffs
Ancestry's transcription:
Name Age
John Smith 33
Jane Smith 36
Joseph Rane 5
William Rane 3

JS 33 sugar boiler b Hanley
JS 36 b Isle of Man
2 step sons b Hanley
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1911
19 Brick St, Hanley, Staffs
Ancestry's transcription:
Name Age
John Smith 43
Catherine Leger 49
Sarah Alice Ansell 45
Esther Louisa Maria Smith 8
Mary Annie Smith 6

JS 43 widower, labourer b Hanley
2 sisters
2 daughters b Hanley
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Jane Smith probable death Jun Q 1908 age 43, Stoke upon Trent. 6b/89.

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Summary

Children born to Eliza Jane Mylchreest b 1864 (JM1):

Jessie Ann Mylchreest b 1883 (probably)
Catherine Jane Rane b 1893
Joseph Rane b 1895
William Rane b 1898
Esther Louisa Marion Smith b 1903
Mary Annie Smith b 1905

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JM1 may also have been the mother of 3 more illegitimate children who were born in the 1880s in Douglas:

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MYLCHREEST, Jessie Ann 8 Mar 1883 Malew 56 Not given MYLCHREEST, Jane

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MYLCHREEST, Robert Gregg 30 Nov 1886 Douglas 617 Not given MYLCHREEST, Jane

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MYLCHREEST, Euphemia C 24 Dec 1889 Douglas 814 Not given MYLCHREEST, Jane

IGI baptised 12th Jan 1890 Braddan (Benjamin Chapman and Jane Mylchreest)
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Also, from IGI, Benjamin Chatman Mylchreest baptised 26th Aug 1888 Braddan (Benjamin Chatman and Jane Mylchreest)
This child died as an infant.

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I've followed these children up to see if they can be linked to each other and to see which particular Jane they can be linked to. I can't find any of them in 1891, but in 1901, Robert Gregg Mylchreest and Euphemia Chapman Mylchreest are together as boarders in Douglas:

1901
South Quay, Douglas

Ancestry's transcription:
Name Age
James Quillian 52
Frances Quillian 53
Thomas F Quillian 12
Robert Greig 14
William Ellis 4
Henry Ellis 2
Euphemia Chapman 12

James Quilliam, widower, father Wm Q, married Fanny Karran, spinster, father Wm K, 7 Jan 1883 Braddan.
1 son and 4 boarders:
Robert and Euphemia were both illegit children of a Jane Mylchreest (the same JM who was the mother of Jessie Ann Mylchreest b 1883 ?)
Henry Ellis was probably the illegit son of Lucy Ellis (a Douglas hotel chambermaid b England in 1901).

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1911
3 Archway, South Quay, Douglas
Ancestry's transcription:
Name Age
James Quilliam 63
Frances Quilliam 62
Euphemia Quilliam 21
William Quilliam 14
Edith Quilliam 1/12

+All b Douglas except Frances b German.
Euphemia daughter
William son.
Were these Euphemia Chapman/Mylchreest and William Ellis who were perhaps adopted by James+Frances Quilliam ?

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Jessie Ann Mylchreest b 1883 might turn out to be the same person as the Jessie Benthall in Birkenhead in 1901 who married Thomas Joseph Shone in Birkenhead Sep Q 1905, but I haven't managed to find any evidence of this.

I wonder if the illegitimate Mylchreest children, Jessie Ann, Robert Gregg and Euphemia Chapman, were all together in care in 1891, perhaps just listed by their initials. It seems strange that they're all so elusive.

Jean C