You could take her to the Vet to rule out any possible health issues.
She is still a puppy and you have only had her a short time. Sine dogs just potty train faster then others. Good idea to limit her area. Pups will usually do their business when first waking up, after eating and playing. Make sure to take her out then. If you have to, take her out every hour. If you can, watch her and as soon as she acts like she is going to go, take her outside. If you can establish a routine, that should help. Hope she catches on. Routines and patience may be your best bet. Good luck and please come back to update.
Is she crate trained at all?