Oh yes, my Mum used to sing"Daddy wouldn't buy me a bowbow"; also "Down on the railroad early in the morning"and "Oh the chirruping of the birdies on the sycamore tree" - and I sang them to my children and latterly, the grandchildren.
My own party piece as a child was"when I was at the party", said Betty aged just four "a little girl fell off her chair right down upon the floor. And all the other little girls began to laugh, but me. I didn't laugh a single bit", said Betty seriously. "Why not?" her mother asked her, full of delight to find that Betty, bless her little heart, had been so sweetly kind. "Why didn't you laugh my Darling, or don't you like to tell?" "I didn't laugh" said Betty, "cos it was me that fell".