Gill,

There isn't much information in your question. It might be a small island but there were over 80,000 inhabitants in the late 19th century and there was a lot of movement to and from the mainland - and further afield.

No trace of your names in the 1891 census index, but there is an Arthur Burrows aged 15 and born in England on the Island. Are you sure soemone hasn't scrambled the names?

Good hunting,

James