Hi, Irish - Well, the series of songs about women with false body parts is #651 in the Digital Tradition Database. If you put #651 in the search box in the upper-right corner of this page, you'll come up with the songs listed below. I don't think any of these are exactly the song you're looking for, but maybe they will set somebody else off in the right direction. Come back and tell us more about the song, if you can.
-Joe Offer-

1) AFTER THE BALL (Dismantled Bride)

DT #651

2) AMONG MY SOUVENIRS

#651

3) A BEAUTIFUL YOUNG NYMPH GOING TO BED (1731)

#651

4) SIDE BY SIDE

#651

5) THE UNFORTUNATE MAN

DT #651

6) VERY UNFORTUNATE MAN

DT #651