Wild Theory number #127: Vault 111 is a cyrogenic facility, creating a stockpile of transplant donors for future Enclave use.....the main character is unique in that he/she survives the process with personality intact.
Wild Theory number #158: Vault 111 is made up of small number of Cyborg 'survivors' from the pre-war era, who use cloned dna for fresh human parts, the main character is one such cloned human who escapes the confines of the vault.
Wild Theory number #179: Vault 111 is much like the earlier Fallout games main character vaults, standard non fiendish experiment 'normal' vaults.....the main character has to leave for some reason.
Wild Theory number #189: Vault 111's population spend their entire lives in simulators (children are created artificially), believing themselves to be in a pre-war enviroment.
Etc, etc, etc......
All of these theories are based on no facts beyond the existence of Vault 111.
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One thing on the Vault 112, as Vault 112's inhabitants were in stasis/simulation pods and NOT cyrogenically frozen they like Mr House are not viable proof of cyro, the only real example we have is by aliens in a DLC many do not even consider canon.