Hi Jackie
I decided to look at all the Teare births in the Manchester area in the 1850s and 1860s, and then the Teer births. There were 2 Teare families having children in Chorlton, one of them with a William b 1860, and that was the John Teare/ Isabella Taggart family. Then in Manchester there was a Teer family with a William b 1859 and several siblings.
I looked at your William and Lilian in 1891 and 1901 and saw that in 1891, William was a 29 yr old "job merchant" ? b Manchester, and in 1901 he was a 40 yr old joiner b Manchester.
I found in the 1881 census a William Tear, 21, joiner, b Manchester, with mother (mar, not widow) Elizabeth age 39, dyer ?, and siblings Jane 19, Frank 17, John 16, Alice A 12, Mary E 9, Joseph 7, James S 8 months, all b Manchester.
They were hard to find in 1871, indexed as Leer.
1871
Lancashire, Cheetham, district 7, image 1
20 York St
Jos Thos Teer (indexed Leer) head mar 35 beer seller
Elizth wife 36
Wm son 12
Jane dau 10
Francis son 8
John son 6
Alice dau 1
Eliz dau 7 weeks
Agnes kelly 22 barmaid
all b Manchester
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1861
Lancashire, Manchester, Ancoats, district 11, image 26
45 Hood St
Thomas Teer head mar 25 mechanic iron turner
Elizabeth wife 25 housewife
Elizabeth Ellen dau 3
William son 1
Jane dau 4 months
all b Manchester
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These are the births of the first 3 children. I haven't found a marriage of a Thomas or a Joseph Thomas Teer to an Elizabeth circa 1857 in Manchester.
England & Wales, FreeBMD Birth Index, 1837-1915
about Elizabeth Ellen Teer
Name: Elizabeth Ellen Teer
Year of Registration: 1858
Quarter of Registration: Apr-May-Jun
District: Manchester (1837-1924)
County: Lancashire
Volume: 8d
Page: 106
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England & Wales, FreeBMD Birth Index, 1837-1915
about William Teer
Name: William Teer
Year of Registration: 1859
Quarter of Registration: Jul-Aug-Sep
District: Manchester (1837-1924)
County: Lancashire
Volume: 8d
Page: 119
**********************************************
England & Wales, FreeBMD Birth Index, 1837-1915
about Jane Teer
Name: Jane Teer
Year of Registration: 1861
Quarter of Registration: Jan-Feb-Mar
District: Manchester (1837-1924)
County: Lancashire
Volume: 8d
Page: 115
*****************************************
The William Teare b 1860, son of John Teare and Isabella Taggart, was in the IOM with Teare relatives (father's married sister ?) in 1881, and he was a plumber.
It's looking increasingly likely that the "joiner" occupation of your William Teer in 1901 links him to the William Teer b 1859, son of Joseph Thomas Teer and Elizabeth.
Jean C