OK, almost got it:
Missing words in first verse are I think, "in a place called Bethnal Green"
[NOT a "town"] I'm pretty sure of the first two lines of the third verse, the third may be a bit shaky. I don't think there are any more verses.
It stared well because he fell for all her girlish charms
But he had his doubts when he found her out in somebody else's arms
He said:" My dear, [you know, I fear] that is going just a bit too far"

The bits in square brackets are doubtful. A amazing what the brain remembers! It must be all the fish I've eaten in the past week.