Hi - I have some information on the parentage of Judy Quilliam of Malew. She was daughter of Robert Quine and Margaret Clague of Arderry in the Abbeylands in the parish of Braddan. However it seems like you may have guessed at Thomas Quilliam's parentage using the IGI, and you will need to see some better evidence.
I am descended from John Quine, (1761 - 1854) brother of Judy.

Regards,

Nigel Crowe