Peter, Ian Radcliffe has sent this 1841 census transcript as a possibility for William Quayle because of the significant Irish connections. He thinks that Andrew might simply have been left out, because the census wasn't 100%accurate:
Ballaugh, page 8
Cronk Ould
William Quayle 50 Ag lab IOM
Rebecca Quayle 45 Ireland (probably his wife)
William Quayle 14 IOM
Daniel Doien 40 Gardener Ireland (this surname is difficult to make out)
John Bleany 35 Coachman Ireland
Bridget Bleany 50 Ireland
Ann Gordon 26 Dressmaker Not born IOM (N in whether born in same island column) but
only a small vertical mark in the alternative column, quite unlike the copperplate
capital I given for the others.

Sue