How about "Me Husband's got no courage in him, oh dear oh" (or its equally famous (but not traditional, of course) parody "Me Husband's too much Courage in him . . . . " both sung very well in the County of Essex by a wonderful, all-girl harmony group called The Penny Huffers for many years.

The Huffers also sang "An Old Man Came Courting Me", just as humourous.

There's a song I do occasionally called "The Horseman" where the girl asks the horseman for the favour of what lies between his legs then when he dismounts, she jumps on his "bonnie little brown" and rides away with the last lines . . .
"Don't make such a moan
The mistake was your own
For I sought nothing but your horse!"

Another one I sing is the cumulative drinking song "he that makes one, makes two". Is it traditional? It's in Thomas d'Urfey's 18th century "Pills to Purge Melancholie", I believe.