I heard this four days ago on a CNN evening-news broadcast.

Problem:
There is no problem with this statement in and of itself. But the reporter was referring to the state of the person found, so there is a problem.

Explanation:
The CNN reporter said “She was found safely.” as part of a longer report about a robber and father who took his daughter to his robbery of a convenience store.

Security-camera videos implied that the daughter apparently was unaware that her father was robbing the store, but police were very concerned for her safety, the reporter said.

So the police searched for the girl and eventually found her in a safe condition.

But the reporter said “She was found safely.”, even though the search for the girl had no hint of danger.

This is an example of hypercorrection.

To say “She was found safely.” is to say that the finding of the girl was done in a safe manner — because “safely” is an adverb that modifies the verb “found”.

The solution comes from understanding the role of a predicate adjective.

Solution:
“She was found safe.”