The nameplate of the newspaper Herman is reading early in the episode is briefly visible on a couple of occasions. It's an issue of "Die Welt," a national paper in what was then West Germany. Grandpa mentions "the old country" later in the same scene. Presumably, these are references to the traditional association of the "Frankenstein" story with Germany. In Mary Shelley's novel, the birth of the monster occurs in Ingolstadt, Germany.
In the original filmed version My Fair Munster: Unaired Pilot 2 (1964), Eddie does not have a widow's peak. All scenes with Eddie were re-shot after the producers decided to add a widow's peak to Eddie's hair, except for the scene where Eddie is chased home by love struck young girls.
"My Fair Munster" was based on the original Pilot for the show My Fair Munster: Unaired Pilot (1964), even reusing several lines from the pilot verbatim, as well as re-shooting scenes as very similarly to that in the pilot during the first half. (The Pilot was only 15 minutes long and ended with Grandpa making the potion).
Al Lewis has a prosthetic nose in this Episode that disappears in further episodes
The dialogue between Mrs. Cribbens and Mr. Bloom about the Munsters is a thinly veiled commentary on civil rights issues of the mid 1960s:
Mrs. Cribbens: "This was such a nice neighborhood until they moved in!"
Mr. Bloom: "Keep them in their place, that's the ticket, Mrs. Cribbens!"