Character creation and the birthday paradox

Today we had the first session of my first DnD campaign as a player. Myself and another player both showed up with clerics with a hermit background. Not only that but both of us have the deaths of our mothers as key backstory. (We're different races, though.) The birthday paradox is at play here. Get a half a dozen people showing up with independently created characters and you're more likely than not to have two of the same class.

Still, it weirded me out, like we're copycating each other or something. I haven't been this weirded out since I found out another person on the cross country team had the same middle name as me. (I have a unique first and last name, so I'm not used to sharing a name with other people.) I'm probably definitely overthinking this. It doesn't help that this is my first character and I'm self conscious about the whole thing.

Have any of you other Tilda Swintons ever had a character that was similar to another player in your party? How did you react? How did they react? Have any of you had a hermit cleric with a dead mother?