Well, I'm very surprised that there's no Commander Cody fan site with lotsa lyrics. Here's how I remember the chorus and first verse:

Mama hated diesels so bad
I guess I always knew it was something to do with Dad
The first time I ever seen her cry
Was after one of them things went by
Mama hated diesels so bad

I remember hearing those semis gearing down
My mother and me we lived right there on the high-grade into town
I sure liked them White Freightliners
But there was something in my Mama's eye
When she'd catch me watching 'em roll
Lord a little bitty piece of her died

I reckon this song is sort of a prequel to Red Sovine's Giddy Up Go.