Born in East London, I used to sing this song when I was a small child as a party turn with my brother. My husband is really embarassed when I sing it today, so I do it to wind him up.
My only comment is that our version had the winkle seller as 'Old Ma Binkle'. I've always wondered if there was another verse...
although the 'has anybody here got a skewer? OY!!' is such a final ending.