You searched for: “prepositionally
prepositionally (adverb); more prepositionally, most prepositionally
Pertaining to how a phrase modifies a verb, an adjective, or an adverb by pointing out where, when, in what manner, to what degree or to what extent:

Prepositionally modifying a verb:

We sat on the park bench. (Sat where?)
He should arrive within the hour. (Arrive when?)
Except for the border, the quilt was finished. (Was finished to what extent?)

Prepositionally modifying an adverb:

He left early in the morning. (Early when?)

A sentence that contains more than one adverbial phrase, and both of them prepositionally modify the same word [climbed]: During the cool morning hours, they climbed to the summit. (Climbed when? Climbed where?)