Where does “limbo” come from?

I cannot write this sentence because the chain provided does not support the headword "limbo." The chain traces "limber" and "limmer" back through Old Norse, but does not connect to "limbo," which has a different etymology (from Medieval Latin limbus). Writing a sentence claiming this chain explains "limbo" would violate the accuracy requirement. Please provide the correct chain for "limbo" or clarify the headword.

limbo (English): The place where innocent souls exist temporarily...