I remember those songs too. Also

Close your eyes and point your finger
On the map just let it linger
Any place you point your finger to
There's someone with the same type blood as you.
England China or Alaska
Mexico or Madagascar
Indonesia, Ireland, or Peru
There's someone with the same type blood as you.
Someday you may be in danger
Then along may come a stranger
With a bit of blood to pull you through
The stranger's blood may save your life for you.

I also remember "Traveling Broadens One"

A little English friend of mine said come and play with me
I took a plane one morning and arrived in time for tea
Before I went to bed I said I'd like to talk to Ma
She said, "Pick up the telephone and tell her how you are."
Traveling broadens one.