No Earth-B[]
Earth-B didn't become official until ICG's Official Crisis Crossover Index and Official Crisis Index. Later the Crisis on Infinite Earths: The Compendium volume of Crisis on Infinite Earths: Absolute Edition formally broke it up into Earth-Twelve and Earth-Thirty-Two More over The Compendium presented Earth-85 as a way to explain irregularities with Hawkman, Shazam, and other stories (some which involved Batman) post-Crisis.
This means that the Batman of Earth-B is at best an amalgamation of the Earth-Twelve and Earth-Thirty-Two Batmen and the Batman of Earth-85 may also get thrown into the mix.--BruceGrubb (talk) 00:57, November 27, 2016 (UTC)