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Manx Genealogy

Re: researching Cain, Quaggan/Quaggin Quickin

Hi. I've just traced back 6 generations on my mother's side of our family, to a lady with the surname Quaggin. She had a daughter called Elizabeth in 1813 & lived in Malew Isle of Man.
This makes her my Great Great Great Great Grandmother! She married John Cowin from Patrick Isle of Man. Their daughter Ann married Daniel Quayle, & then their daughter Hannah Jane Quayle married John Williams.
Their son Robert Herbert Willuams married Emily Gregory (My Nan).
We live in Bromborough on the Wirral.
Could we be related?! I'd love to know more?