IME, most dogs like their privacy.
Eliminating is an involuntary action. They don't go outside and do their business just because they were let out to do so. Sometimes it takes them a while to feel the urge to go. Are you giving her enough time? Can you secure her outside and give her at least 20-30 minutes alone to answer nature's call? Do you have a quiet place to do so? Exercise can bring on the urge, perhaps if you took her for a walk?
You might want to try letting her out, giving her some time and then bringing her in and crating her for a half hour and then letting her out again.
If you need equipment to maintain control of your dog, understand youíre hanging on to your dogís body because youíve lost his mind!