Does the maid 1.hang 2.hung 3.hangs 4.hanged the laundry out to dry an hour ago?

Answer 1

If the question is which word choice will make the sentence correct, the answer is that the sentence will not be correct unless the first word is changed from "does" to "did":

Did the maid hang the laundry out to dry an hour ago?

If, however, the question is what the correct past tense of the verb "to hang" [laundry] is, the answer is "hung": The maid hung the laundry out to dry an hour ago.

The past tense of "hanged" is used only in reference to suspending a person by the neck.

Answer 2

The maid 2. hung the laundry out to dry an hour ago.