Thanks so much for your helpful reply.
I will answer your second question first.
The kitten cannot be allowed outdoors untilshe has completed her entire vaccination program. Even if she canot get out, other cats can climb even a tall fence with no problem. Plus some ailments are airbourne so direct contact is not necessary.
The way to get her used to the outside is to first take her out on a leash. Walk around with her and let her smell everything so she gets used to the property.
Take her litter box out and stay with her till she uses it Then dump the litter with her waste in the area you want her to potty.
She will get used to using that area.
Right now she is peeing on your daughers bed because she has bonded with her and feels safe where she smells her scent.
Use an enzyme cleaner to remove any accidents. Then spray with feliway.
Put cat attract litter in her box to motivate her to go there.
Do not allow her to roam all over the house till she uses her box religiously.
Please let me know how things go. If you have any questions along the way, I will always be here for you.
Warmest best wishes,