I have Henry Hall's "Definitive" version, but this is a naughty one my children used to sing when small:

If you go down to the woods today
You're in for a big suprise
If you go down to the woods today
You'd better go in disguise
For Uncle Frank is having a w...
And Uncle Bob is sucking his k...
And Auntie Flo is having a go at Grand-dad.

Is the previous poster sure about "Teddy Bear's Picnic" having sinister undertones? Are you not confusing the Henry Hall version of this song with his, "Hush, hush, hush, here comes the bogeyman"?