Do us a favor and always refer back to your earlier posts either by board and number or by link for the sake of continuity and context:
Answers to your current question would be of no help to the situation you describe in your other post.
Yes, there is such a thing as an implied lease or oral lease. Whether or not one exists or is enforceable depends on a variety of factors not the least of which are possible statutes that might say a certain type of leas has to be in writing to be enforceable.
Leases typically are not required to be recorded to be enforceable. They can be, but most aren't.
With regard to coal land houses sold with 99 year leases, the obvious question was who were the parties to the original lease and what were the terms and conditions?
Leases for mineral rights generally run with the land and you've established that your folks don't appear to own the land, so the existence of a prior lease might not help them. It's even questionable if they own the house. Taking a "receipt" to be recorded is not the same as recording a deed so there is no way of knowing if that "receipt" does them any good.
I think it's time that your folks resign themselves to hiring a real estate attorney who can properly guide them through an action for adverse possession or quiet title.
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