The pronoun me used in the sentence is under the objective case (A) or
object pronouns. Object pronouns specify the recipient of an object or action. Some
typically used object pronouns are me, you, him, her, it, us, you, and them. It
is normally use after a verb or preposition
Went
My grandparents WENT for a walk in the park
It would be : The mother was unable to provide for their needs. Implicit meaning implied.
It would not be the others because what if she didn’t have resources to start a fire? It said room not building, and by having the children smiling, they did not resent her.
I’m pretty sure you’re correct!
My explanation would be because using active voice uses fewer words. Making it fast pace and engaging for readers.