It's funny to think that in the Golden Age, Batman's villains rarely teamed up. Especially considering how often the Joker appeared, it's amazing that he only teamed up with the Penguin once. But this is a great story with fun dialogue, and it is perfectly drawn by Jack Burnley and Jerry Robinson. According to the Grand Comics Database, the full credits are as follows:
Don Cameron (credit by O'Hearn) (Script)
Jack Burnley (verified by Jack Burnley) (Pencils)
Jerry Robinson (verified by Jack Burnley) (Inks)
George Roussos (verified by Roussos) (Letters)
This story, from Batman #25 (Oct-Nov 1944) has only been reprinted, as far as I know, in Wanted: The World's Most Dangerous Villains #2 (Vol. 1 Sept-Oct 1972) and in "The Greatest Batman Stories Ever Told" collection. The current volume of The Affordable Batman (Batman Chronicles #6), includes Batman #10 and #11. So, this story won't turn up until about Volume 13.
This story is responsible for making Batman my favorite superhero in the 70s...at least until I got my hands on those Ditko Spider-Man pocketbooks.
Here is "Knights of Knavery":