You don't have to open a channel directly with me, no, but you still have to open a channel to someone. If the other three members of the family open a channel to the father, and he opens a channel to me, then I can send money to any of them, but the 4 of them have still had to open 4 channels.
Excuse me from being a LN newbie. Can't you open 1 channel funding 4 multi-sig addresses?