Please identify late '50s-early '60s sitcom where an uncle moves out!

[alcr1]

I saw just one scene of an old sitcom on TV a few years ago (it was at least three years ago). I don't remember what show the clip was on. The sitcom was in black and white, never saw it before, didn't recognize the actors. The scene went like this:

There's a married couple (perhaps in their thirties) who have let their Uncle Jack (I'll call him Jack because I don't remember the character's name) live in an upstairs room of their house, apparently for some time, perhaps a few years. One day Uncle Jack moves out. After he's gone, the wife says to her husband, "I'm sorry to see him go. I really like your Uncle Jack." And the husband says, "My Uncle Jack? I thought he was your Uncle Jack!"

Has anyone else seen this?