It's from The Ballad of Bethnal Green, by Paddy Roberts, who recorded it in the 60s - I've no idea who else has recorded it. As far as I can ascertain, the lyrics are:
I'll tell a tale of a jealous male and a maid of sweet sixteen;
She was blond and dumb and she lived with her mum on the fringe of Bethnal Green.
She worked all week for a rich old Greek for her dad was on the dole;
And her one delight on a Friday night was to have a little rock and roll.
Then one fine day in the month of May she found her true romance;
He was dark and sleek with a scar on his cheek and a pair of drainpipe pants;
And she thought "With you I could be so true through all the years to come";
For she loved the gay, abandoned way he chewed his chewing gum.
It all went well because he fell for all her girlish charms;
But he had some doubt when he caught her out in someone else's arms.
He said "Look here, you know my dear, this is going a bit too far",
And he went quite white and sloshed her right in the middle of a cha-cha-cha.
He went before a man of the law who said "This will not do;
I've had enough of the kind of stuff that I get from the likes of you."
And was she peeved when he received a longish term in clink;
In a fit of pique she married the Greek and now she's dressed in mink.
The chorus after each verse is:-
To my oo fal lal to my titty fal lal to my itty bitty fal lal lay