Deactivate Parent AND Children (C#)

I have a Flame thingie, which should light itself at dusk, then douse itself at dawn.

Being a bit new to unity, I ran into a, for me, pretty nasty problem.

If I deactivate the Parent in my script, the Children just keep happily doing their thing (naughty children they are).

If anyone could help me with a way to iterate through the Children and disable them, I would be mighty pleased (And able to go o with my project)