The only solid information I have is a copy of my father's birth certificate which states that his father is William Henry Quayle, Tailor, of 19 West Quay, Ramsey and his mother is June Quayle formerly Kermeen.
I found that the information on Jane (June) Kermeen came from my nephew who couldn't recall precisely where he sourced it but presumably from census records some 8 - 10 years ago. He recently had his computer crash and had to reinput his material from hard copy and didn't include much of the source info.
Based on the above it appears that William the Tailor and June in the first para might well be my grandparents and not the other William.