It's very similar lyrics in Heartbreak Hotel . I don't know the Hank Williams song you were referencing so to me it was Heartbreak Hotel by Elvis.
"So lonely I could die"
Instead of "so lonesome I could cry" . Elvis probably liked Hank Williams but I don't know if Elvise wrote Heartbreak Hotel or if the lyrics were more of an homage to Williams or had nothing to do with Willams.
Heartbreak Hotel / Elvis Presley
Well, since my baby left me Well, I found a new place to dwell Well, it's down at the end of Lonely Street At Heartbreak Hotel Where I'll be, I'll be so lonely, baby Well, I'm so lonely I'll be so lonely, I could die.