Question

the mothers singing put the baby to sleep. subject direct object object of preposition

Explanation:

To determine the correct label for "the baby" in the sentence "The mother's singing put the baby to sleep", we analyze the sentence structure. The subject is "The mother's singing" (what is doing the action). The verb is "put". The direct object is the noun that receives the action of the verb. Here, "the baby" is what is being put to sleep, so it is the direct object. The "object of preposition" would be a noun following a preposition, but there's no preposition here governing "the baby" in this context.

Answer:

direct object