Hello David,
In front of me I have the family group sheet of Thomas Everton of Trillick, County Tyrone, Northern Ireland. His wife's name was Elizabeth Jane, but no maiden name is apparent.
There is no record of William Bird Everton on this page but it lists John (1847), Charlotte (1849), Nathaniel - my ancestor (1853), Charles (1851), Susan (1855), Eliza Jane (1860), Marie (1861) and Edward Thomas (1860).
Nathaniel married Elizabeth Wilson in 1877 and their only child, William Nathaniel Robert Bird Everton was born in London Eng. Apr. 6, 1881 then emigrated to Toronto, Canada and married Margaret Morris. They are buried at Prospect Cemetery in Toronto. Their children were, my Grandmother, Elizabeth Jane (1887), Ernest (1892), Thomas (1900), Jack and Emily. (both younger)
Elizabeth Jane married Arthur Harold Woods, my grandfather on my Father's side in 1905 and gave birth to Norman Howard Woods (1908), Erwin Harold Woods (1912) and my father Gordon Douglas (1919)
Perhaps this may be the link you are seeking.
Dougie