I'm up in Coal Country PA, same state as WWSM and pretty far north of them, but according to Radio-Locator's maps, WWSM sends a lot of juice our way. And indeed they *are* a pretty faithful carradio signal. WWSM is one of the few stations on the AM dial whose main product is music.
Terrific listen they are, if you're into that genre of C&W.
If what you heard, Al, was a series of one song after another from the late Fifties being segued with generic, pre-recorded backsells .... and the occasional spot for someone selling sheepskins at Pat Garrett's truck stop along interstate 78 ...... then you had WWSM.
The station is very casual as far as IDs and other commitments go, and they're largely -- mostly -- automated. They probably could probably go 24/7/365 on the automation unit indefinitely, or until the next morning, when Pat Garrett would walk in to sign it on and go 'whoops!'
If any further assistance in IDing them is required, WWSM plays songs by the FATHERS of the Pioneers.