Certainly, don't post things about people who may be still living or details of recent family scandals.

If you don't know the maiden name of Elizabeth, you can first check all the censuses to see if there's any sign of family on the census.
I see some possibles - are they the set that are in Yorkshire in the 1891 census and Longton, Staffordshire, in 1901?
If so, a potential entry for Elizabeth appears on the 1881 census in Broseley, Shropshire, her eldest daughter being Hannah. She's also listed with a sister, Clara Owen. Edward is not with them, although she is listed as married and a marriage appears on freebmd.rootsweb.com in 1874 for Edward Doughty and Elizabeth Owen. It is likely he was working away from home on census night.
The birth certificate of one of their children would confirm Elizabeth's maiden name, and the marriage certificate would give you Edward and Elizabeth's father's names.
Edward is not the same as the man listed as married to Adelaide in 1881; there were two Edwards born at a similar time and from Jackfield, one b. circa 1858 the son of John (possibly the one who married Adelaide and moved to Alberta), one b. circa 1856 the son of Francis (probably yours).