First of all, you have a very cute little girl on your hands! I'm glad she seems to be fitting in well with your family.
When you say "redirect" do you meant to a toy? That is what I would do. Tell her "nuh-uh" when she bites/mouths me, then offer something she can bite and praise her when she takes it.
I don't have children (nor did I have siblings), so I'm not quite sure what could be expected of them at 6 and 8 years old. Do your kids understand this as well or is there a chance that maybe they aren't able to be as consistent with redirection?
If they are running around and she goes after them and nips, then yes that could be herding, but I think you mentioned in your other thread that she doesn't chase them. If she is chasing, maybe keep her on a leash tied to you so she can't be given this opportunity?
It may be best to only allow supervised play with them so you are there to keep the "correction" consistent. Kennel or X-pen when you cannot supervise.
Hopefully someone with children can come and give some advise if mine is repetitive of what you are already doing.
+ Kalbi CGC 6/21/2015
+ Blackthorn's Out of the Frying Pan NW1 ORT SEN SCN BCAT SIN RATN TKN (Katsu) 9/12/2017
+ Blackthorn's Skofnung BCAT TC CGC TKN RATI RATO (Steel) 07/23/2018