Source : Batman From The 30s To The 70s (Bonanza Books, 1971). Original source : Batman #153 (Feb. 1963). Writer : Bill Finger. Penciller : Sheldon Moldoff. Inker : Charles Paris. Editor : Jack Schiff. Info source : GCD. Batman, Batwoman, & artwork © DC COMICS.
2009 Thoughts : I have been posting this picture online since at least 2002, so it's only fitting that it should appear here. The story in question can currently be seen in full color in the trade paperback Batman : The Greatest Stories Ever Told Vol. 2. Tell 'em OWARI sent ya!