All relevant information concerning this world was recorded by a number of people over the years, including other versions of me. Everything is compiled on the Batcomputer back at the manor and cross-referenced at the Hall of Justice in De Chima.

[ he stops and glances back. ]

And I think even though I'm not as well versed as you, I can safely say that, yes, this Ancient Web Mistress is, in fact, Clotho.