I would have no way of knowing who this Wm Quayle might be.
Assuming Andrew was 20 or so, assuming Wm was old enuf to act as parent
there are at least 4 Wm Quayles in Ballaugh in 1841 census
Age District Page Entry
78 3 13 60
65 2 3 10
50 4 8 41
40 4 13 66

I may very well have info on the Wm Quayle you're seeking but have no idea how to identify him from the info you have.
Sorry.