Need Help With Puppy Pad Training

Whether she's a rescue or came from a great, loving home, you really don't need or want to correct her for this other than to try to catch her and take her where you want her to go. The key is catching her doing the right thing and celebrating like crazy. If you catch her going in the wrong place and punish her verbally or otherwise, you'll just make her more fearful and you'll teach her to find a better hiding place to do her business.

Are you using a crate? If not, that would be my first recommendation. It's the only way you'll have any control when you're not home. When you are home, I would keep her tethered to you with a leash. Where you go, she goes. You also need to antcipate her potty needs. Probably taking her to the pads every 30 min's ore so and 1st thing in the AM or after waking from a nap, etc. It'll take time but once you can catch the moments she does the right thing and throw a party for her, you'll be on the right track.

ETA - is there a reason you don't feel like you can take her out to the yard, even without all her shots? Is it a public place that other dogs visit?

Cathy gave you great advice and I second what she said.  I'd add that you should consider that Willow's chances of contracting parvo or some other dangerous virus are pretty slim.  As long as you avoid places that many dogs (especially stray type dogs)  frequent, the odds are in your favor. Heck, the vet clinic is probably one of the most likely places a pup would pick up a virus but vets don't tell people not to bring their puppies in for their shots.  Just use common sense but don't skip any socialization time with her. Lack of socialization is said to kill more dogs than any viral threat.

 Keeping her tethered to you may frighten her at first.  Get a leash at least 8 feet long.  Watch that she doesn't chew it in half if you get distracted. I'd keep a crate positioned so she can easily get in it if she feels frightened.  Make her crate a safe haven with a chew toy and maybe a towel draped over it for more security. Keep the crate in whatever room you guys spend the most time.  If you can, get two crates.  One for the living/dining area and one for the bedroom area. 

Here's a good blog post from Dr. Yin.  http://drsophiayin.com/blog/entry/puppy-socialization-stop-fear-before-it-starts

 I'd highly recommend, you look here

http://www.dogstardaily.com/

Check out the training text book, especially before you get your puppy, and after you get your puppy. 

 To be completely honest, more dogs die due to a lack of proper socialization than die of parvo. I'm not saying you should take your young puppy that doesn't have all it's vaccines out to the dog park, but taking it to low risk places might be a good idea. Luke was a small puppy, so it was very easy to take him places when he was tiny. I never bothered with a puppy pad for any dog, and I also don't have a yard. Luke was enrolled in puppy class before I got him home (it was one of my stops on my way home from meeting him).

 ^^^^ what Jen said. I brought Tootsie home at 10 weeks and she was enrolled in her first puppy class at 12 weeks. Socialization is key and I was more concerned with that then Parvo. You just have to be smart about it (not saying you're dumb). Don't take her to high traffic areas, like a dog park, but somewhere like the local coffee shop where theres other people. Everyone loves puppies. You could even carry her. Tootsie was very portable. Still is, but shes a dog and dogs have four feet for a reason. Good luck!