My Pony Boy was written in 1909 by Bobby Heath and Charley O'Donnell wrote the music. Bruce Springsteen re-popularized this song in 1992.

My Pony Boy - American Children's Songs - The USA - Mama Lisa's World: Children's Songs and Rhymes from Around the World  - Intro Image

Notes

Here's the version sung by Springsteen:

Pony boy pony boy
Won't you be my pony boy
Giddy-up giddy-up giddy-up whoa
My pony boy.

Ride with me ride with me
Won't you take a ride with me
Underneath the starry sky
My pony boy.

O'er the hills and through the trees
We'll go ridin' you and me
Giddy-up giddy-up giddy-away
My pony boy.

Down into the valley deep
'Neath the eaves we will sleep
Sky of dreams up above
My pony boy.