See Brian Lawson's birth index: www.iomfhs.im/lawsons/births/quayle.html
which has QUAYLE, Jasper, 26 Jun 1900 Ramsey 421 [parents] QUAYLE, William Henry & KERMEEN, Jane, and some of the others.

The Maughold marriage 29 Dec 1877 would fit with those children's dates. What made you think before that she was married in 1892?

Sue