That is indeed the children.
What I have from a descendant of Lilian (who didn't know exactly where she was from, but thought London...). The birth of the children seems to end in 1934 and according to my source, Lilian ran off with another man! Len seems to have returned to his "real" wife - a lady called Sarah Lily (nee Davi(e)s) and you can see another child - with mother maiden name of Davis born in 1936!
I suspect we shall never find the real Lilian unless some more clues appear. The idea she was from Wales certainly fits with them meeting and living there though... London seems a bit out really.
He was a rogue to be honest - the marriage to Sarah Lily Davies, he claimed, was not legal as he had been drunk and Sarah's mother had paid for the wedding.....
Sarah was obviously pregnant at the time, which I guess is why the mother offered to pay. However, he soon scarpered and bigamously married another lady (and was caught!)
He then seems to have shacked up with Lilian Sqaunce - and perhaps used the wedding certificate from his first marriage to a Lily QUANCE (who died fairly soon afterwards) as proof they were married? Who can tell...
Many thanks for your input - much appreciated