State specific on remedial action.
In Ohio, there are 4 types of property; Abandoned; Lost; Mislaid; Treasure Trove.
American Jurisprudence 2nd at the law library has a good volume on it.
If I remember correctly, “the finder of LOST property has claim to it over anyone in the world except the true owner”.
Now, IF I see a man drop his clip of money, then I know for sure who the true owner is, therefore keeping it is theft.
I do remember a case in my mind about a person finding some money in a bank safety box area, now since it had to belong to only a limited # of people, as that portion was not open to the general public as a counter would be, the finder had a duty to turn it in to the bank, such as with Mislaid property. In Ohio, mislaid property MUST be turned over to the business, etc., it was found in, then it becomes a bailment.
According to Ohio law on TT, if I am on a persons property with permission, and say step in a hole outside and find money, coins, etc., it is mine, even though it was not on my property. NOW, if I also remember correctly, this does not include such as a meteorite, sunken ship, etc.
From memory, Ray v. Flower hospital a nurse found an eyecase of jewels on a counter at the hospital she worked at, she claimed it was hers, the hospital claimed it was thiers to keep until the owner could ID it. A suit was filed, the hospital won.