I think there must have been a reason why these 2 people with religious beliefs didn't marry but had 2 children.
I think Edward was aware of the situation and Florence obtained a divorce.
They married in 1924 and the year previous it had been made possible for wives to divorce their husbands for reasons that only men could do before this.
They may have just married without a fuss and their family still believed the WW1 widow story.
Sorry Burbridge that's another task for you obtaining their marriage certificate and seeing what her status was.It can be neverending this Family tree lark