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If the namesake died earlier in the story, it's an example of Dead Guy Junior. But I don't think we have a trope for the general concept of "[Namesake] Jr."
Trouble Cube continues to be a general-purpose forum for those who desire such a thing.
For most cases, I think it's rather like People Sit on Chairs.
Huh, no kidding! I would've thought there would be a trope like that. At least without the dead guy part, lol
But yeah Star you're right too. It's very common in shows but there isn't much reasoning on why they name their kid [name] Jr..
A parent has a kid. They name it [name here] Jr..
Edited by SleepingPuppy