Maughold parish register:
Alice Isabella SKILLICORN, 75, 3 Market Hill, Ramsey, buried Maughold 28 Jun 1931.
Alice Isabella daur of William GOLDSMITH & Ann KELLY bapt Dhoon Church 11 Mar 1856.
I can't see a marriage for her parents, but the birth is not recorded as illegitimate. - However this is indicated by the use of both her surnames later. (And confirmed by Ann Kelly's marriage, below.)
In 1861 Alice Goldsmith aged 4 is a lodger in the Lonan household of Thomas Maddrell, 29, Miner & Ann Maddrell, 25, b.Maughold, and their children Margaret 2 and Thomas 9 mths, all b.Lonan.
Maughold marriage:
5 Jun 1858
Thomas MADDRELL, Full age, Bachelor, Miner, Kirk Lonan, [father] William Maddrell, Weaver, and
Ann KELLY, Full age, Spinster, Maughold, [father] Robert Kelly, Farmer.
There were several William Goldsmiths in Maughold & Ramsey in 1861.
1881 census from FamilySearch.org:
Thomas MADDRELL Head M Male 50 Lonan, Isle of Man, England Lead Miner
Ann MADDRELL Wife M Female 45 Maughold, Isle of Man, England
Susanah MADDRELL Daur U Female 17 Lonan, Isle of Man, England Dress Maker
Elizabeth MADDRELL Daur Female 14 Lonan, Isle of Man, England
William H. MADDRELL Son Male 12 Lonan, Isle of Man, England Scholar
Emiley F. MADDRELL Daur Female 10 Lonan, Isle of Man, England Scholar
Edith C. MADDRELL Daur Female 7 Lonan, Isle of Man, England Scholar
Mary H. MADDRELL Daur Female 5 Lonan, Isle of Man, England
Source Information:
Dwelling Ballaragh Cottage
Census Place Lonan, Isle of Man, Isle of Man
Family History Library Film 1342346
Public Records Office Reference RG11
Piece / Folio 5601 / 55
Page Number 25
The 1901 census for the household of Edward & Alice (given previously) included daur Effie aged 16 b.USA, so b.c.1885. Edward & Alice married in 1889. The IGI has an entry for Effie Goldsmith Kelly born 4 July 1884 Cleveland, Cuyahoga, Ohio, with mother Alice and father John. US records might throw some light on this.
I think you need to buy that marriage cert. for Alice & Edward, previously suggested, to find out more about Alice.
Sue