What would you call this kind of prepositional phrase?

Where a descriptive word, phrase or clause is positioned so that it seems to refer to a different object than the one intended, it is often called a misplaced modifier.

Having gone to the store, the grocer gave me the wrong change.

I went to the store, not the grocer, but the proximity of the phrase nearer grocer than me muddles the meaning.

In general, a modifier is placed closest to the term it modifies unless there are other clear bases for understanding the correct linkage.

I picked up the check instead of Fred, the richest in the group

is very different from

The richest in the group, I picked up the tab instead of Fred.

In many cases, without context, it is is difficult to determine to whom the descriptive terms apply.