To my ear, it means that it is simply not an option that John Reed would have found it out himself, within some time frame and circumstances which may be deduced from more context. It sounds like there are four people involved: Jane, "he," "my/I", and John Reed.
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pructus I wished fervently he might not discover my hiding-placeIt sounds to me like the "he" above is John Reed, alias "Jack." He's a stupid guy, and wouldn't have been able to find her if Eliza had not given her up.
pructus"I wish that S would have PP"This is a new subject, right?