Thomas Quine 1776:

HO 107/1463/7 ES 7 p.7/8
Lambfell Moar, German
Thomas Quine, 65, farmer, born IOM
Catherine Quine, 60, IOM
John Quine, 35, IOM
Ann Quine, 35, IOM
Thomas Quine, 25, Shoe m., IOM
John Boyde, 20, MS, IOM
Thomas Quine, 20, MS, IOM
William Cain, 10 MS, IOM
Jane Cain, 15, FS, IOM

Thomas Quine 1779:
This turned out to be a mistranscription - 12 read as 62. Don’t know how, seems clear enough to me! He is amongst the, presumably, children of John and Jane Quine of Ballavale, St Ann..

There is another Thos Quine 1776 in Braddan:
HO 107/1463/5 ES 9 p.12/13
Ballalig No.2, Braddan. District 1
Wm Quine, 50, Ind., IOM
Ellinor Quine, 55, IOM
Esther Quine, 52, IOM
Thos. Quine, 65, Joiner, IOM