What you just described was an old Twilight Zone episode, which I saw on TV here in Boise last night!
They show two episodes back-to-back on Saturday nights on the local CBS affiliate.
Interesting. I must’ve seen that 30 years ago one saturday morning after cartoons ended. I never forgot it. I sure don’t remember it as an episode of twilight zone though. It seems like it was on somewhere between bugs bunny and hopalong cassidy.