Hi Ffolke, and welcome to Mudcat. I assume from the three singers that you mention that you're North American - is that right? Anyway, I bet you know more traditional songs than you realize, because many of the most popular old songs are sung to children. Here are some more well-known titles for you:

Will the Circle be Unbroken
Swing Low, Sweet Chariot
When the Saints Go Marching In
Home on the Range
Old Folks at Home (Way down upon the Swanee River...)
Oh Susanna
I've Been Working on the Railroad
On Top of Old Smokey
My Bonnie Lies Over the Ocean
Kumbaya


Cheers, Marion