Songs on the Sesame Street Music Box Record Player

[salemfan]

Fisher-Price used to make those "Music Box Record Players", one of which was a Sesame Street version. Here are some songs playable on the Fisher-Price Music Box record player, and where they(or their elements) have appeared on Sesame Street:
Humpty Dumpty-a News Flash appearance, and maybe in a street story
Jack and Jill-maybe in a Street story
Twinkle Twinkle Little Star-Don Music did a version of this song,"Whistle Whistle Little Bird"
Au Clair De La Lune-I haven't seen this song on Sesame Street, but it is a French song, and sometimes they've talked about France on Sesame Street, including the Mona Lisa
London Bridge-???
Where Has My Little Dog Gone-???
Children's Marching Song(This Old Man)-???
Camptown Races-???
Hickory Dickory Dock-a News Flash appearance, and maybe in a Street story
Edelweiss-???
Some of these songs are in the little board book, "Big Bird's Mother Goose."
Can anyone tell me if any of these songs have appeared on Sesame Street or in Sesame Street media?