Yes, you're right. (By the way, I wish Patrick Jane was one of my friends!)
I think we need to make it clear, though, that the comma is needed in the original sentence not because there are two names but because the first clause ends with the word "Bethzatha". Even if that had not been the case, a comma would have been needed.
There at the pool, Jesus healed a man.
The comma is still required but you wouldn't suggest that there is a rule that a common noun and a proper noun must be separated by a comma based on that one example.