Labor Day (2013)

Depressed single mom Adele and her son Henry offer a wounded, fearsome man a ride. As police search town for the escaped convict, the mother and son gradually learn his true story as their options become increasingly limited.

Changeling (2008)

A grief-stricken mother takes on the LAPD to her own detriment when it stubbornly tries to pass off an obvious impostor as her missing child, while also refusing to give up hope that she will find him one day.