1. What did Dick Grayson and Kathy Kane have in common? (No, not that!)
Both Dick and Kathy were circus performers before they teamed up with Batman.
2. Who was Bat-Boy?
Bat-Boy was Midge Merrill, a circus performer who took up crime-fighting to avenge his acrobat pals who were killed in a fire set by mobsters to cover their stealing of the gate receipts. He teamed up with Robin in Batman #90 to catch the murderers of his pals. His "shtick" was that he used baseball bats filled with unusual items (including webbing) to thwart his enemies.
3. Who was Batman Jones?
Batman Jones was a youngster whose parents had named him after the Caped Crusader. This was first mentioned in Batman #92 (June 1955):
The thread was later picked up in Batman #108 (June 1957). It turned out that young Master Jones, inspired by his namesake, was studying detecting as a career and was actually pretty good at it:
But his threat to become a permanent addition to the cast ended with that story as well, as Batman Jones decided that what he really wanted was to become a stamp collector.
4. Who was Mr. Marvel?
Mr Marvel was an alien gambler who had wagered that he could lure Robin away from Batman, and who posed as the new superhero in Gotham City. At first it appears that he has succeeded, but then at a critical moment Robin disarms MM and reveals that he only joined the new guy because Batman's life was threatened.
5. Who was the Eagle?
The Eagle was Alfred, the butler.
In one of Dick Sprang's last stories in Batman #127, Alfred trips over some wires, shines a light on one of those alien jewels that Superman was always bringing back from outer space, and gains (temporary) super-powers.
6. What did Commissioner Gordon like to have every evening? (Golden Age reference).
Commissioner Gordon liked to have a rub-down (massage) every night, which his son, Tony, gave him. Permission to say "Ewwwww!" granted.
Darius Smith got #3 right. Michael Rebain correctly answered #1. Blaze Morgan got #1, #2, #4 and #5. Ed was on the money for #1 and #5. The Strange Sr. Mulder hit the target with #1, #3, #4 and #5.