Civil War era US: Two Irishmen from the 69th New York Regiment pass each other on the street, recognizing each other by shamrocks on their hats.

#1: Goo'day, Pat!

#2: Top o' the mornin' to ya, Mike!

#1: But me name isn't Mike.

#2: And mine isn't Pat.

#1: What a shame, then it's neither of us.

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Blackface Minstrel thing:

#1: Hey, I hear you got a job as a saleman.

#2: Sure did. Pays real good.

#1: What do you sell?

#2: I sell salt.

#1: Is that right? I'll be. I sell pepper.

#2: Shake!

CC

PS. You didn't specify FUNNY, did you?? But they are period.