[Mandycasey'smom]

get a cheap lead and tie her to you when she is out of crate. If she is right with you she can't pee. Do not let her go for even a second if you are busy crate her.
She has learned it is ok to piddle in the house and you need to have a party with treats each time she piddles outside.
We had a tough time with Casey as well yet Mandy 3 months older trained in a week.
ugg these dogs drive us batty but with consistance and diligance on your part it will work.

 

[Pamela]

if she has soiled on a rug it is very very hard to get the scent out and they will return to the "crime" All our poos were tough to train and yet they are so smart. who can figure? after everyone was trained I got rid of the rug and put in laminate floors. lol

 

[Blue Fox]

You need to give her the opportunity to be in the rest of the house and take her outside regularly from those parts of the house to toilet. She can not be given the opportunity to toilet in the other parts of the house, either by teethering to you as MandyCasey'sMum suggests or by diligence on your part to watch her at all times when she is in that part of the house and taking her outside for toileting and praise EVERYTIME she needs to toilet.

Sounds like you've been doing really well just need to move the training which has been working for you in the kitchen to the rest of the house.