I still didn't see Frank on the same voyage to Quebec in 1911 as Florence Moss 37 and Stavus, aged 1. Could you verify that he was on the same ship?
About Florence, who was born in 1897.
There is a tiny clue, which may mean something. On a border crossing from USA to Canada on 30th Sept 1932...
Florence Freeman b Hackney
Going to: Husband William Louis Freeman, Brighton, Ontario.
Then, at the right side of the page ...
Nearest relative - and it looks like it says: Daughter FLORENCE Laidlaw, Rossington, Doncaster.
So perhaps she married someone named Laidlaw.
On another border crossing on 18 Sep 1937, Florence Freeman is coming from 257 Carlton, Toronto and going to Sidney Barton, son, 2653 Pasedena Ave, Los Angeles. And it says, Nearest Relative: Stavus G Barton, Gunner Mines, Beresford, Manitoba.
I think, in 1939 anyway, Florence Freeman lived at 1029 Alvarado Sr, Los Angeles.