Some possibilities
1861 West Division Church Road Braddan:

William Caine 40 Head Farm laborer b. Peel
Mary Caine 41 Wife b. Kirk Christ
Daniel Caine 14 Farm laborer b. Douglas
Thomas Caine 9 b. Douglas
William Caine 12 b. Douglas
Catherine Caine 6. b. Douglas

1861 26 Gt. Nelson Street Douglas
John Cain Head 45 Carter b. Braddan
Mary A Wife 42 b. German
Mary A Daughter 9 b. Marown
Thomas J son 7 b. Patrick
Joseph son 3 b. Onchan

1861 Ballig German
James Cain Head 48 Woolen weaver b. Braddan
Jane Wife 44 b. Braddan
Jane 15 b. Braddan
Thomas 7 b. Braddan
Edward 10 b. Braddan
Elizabeth 12 b. Braddan

1861 ?Willy Vane House Braddan
Willliam Cain Head 50 Shoemaker b. Braddan
Elinor Wife 44 b. Braddan
William son 18 b. Braddan
John Joseph Son 14 b. Braddan
Philip 11 b. Braddan
Thomas 8 b. Braddan
James 4, b. Braddan

1861 Awhallan House 4 Braddan
Philip Cain Head 58 labourer b. Braddan
Catherine 50 Wife b. braddan
Philip son 24 b. Braddan
Thomas son 6 b. Braddan

In 1871 there were two Thomas Cains aged 18 on boats no Parish of birth was recorded
Also in 1871 on 37 Farm Hill Vicarage Cottage Braddan
William Cain Head, 53 Ag. l. b German
Mary Wife, Wife 53 laundress b. German
William son Unm. 21 Joiner b. Douglas
Thomas, son Unm. 19 b Marown
Catherine 16 dressmaker b. Braddan

1871 Frederick Street Douglas
Mary Cain Head 42 Marr. House keeper b. Douglas
Thomas Cain son 15 House Painter b. Douglas
Elizabeth 13 b. Douglas
Harriet 8 b. Douglas
Alfred 3 b. Douglas

1871 Chester Street Douglas
William Cain Head 58 Labourer b. Michael
Margaret Wife 54 b. Marown
William son 23 Gardener b. Port St. Mary
Thomas 16 Cabinet Maker b. Douglas

1881 27 Castle Street Douglas
William Burrows Head 29 carver and Gilder b. England
Leanora wife 30 b. Arbory
William son 6 b. England
Thomas H son 3 b. Douglas
Mary L 1 b. Douglas
Margaret 63 Mother-in-law Wid b. Marown
Thomas 25 Cabinet Maker b. Douglas

In 1881 there was a 26 year-old Thomas Cain, general laborer, a boarder at 40 Fort Street Onchan. b. Braddan

1881 At Ballafletcher Braddan :
William Cain Head 60 Ag Labourer b. German
Mary Cain wife 60 b. Braddan
Catherine Cain Unm. 23 dressmaker b. K. Braddan
William Comish 13 grandson b. Douglas

1891
5 Cayley's Court Douglas
Thomas Cain Head 35 sailor b. Douglas
Susanna wife 25 b. Peel

1901 4 St Barnabas Square Douglas
Thomas Cain Single 46 Ships Porter b. Douglas

1901 German
Thomas Cain 47 Schoolmaster b. Braddan
Margaret Wife 37 b. Scotland
Neil son 4 b. German
1901 Ballasayle German
Thomas Caine 47 Farmer b Braddan
Eunice Wife 45 b. Patrick