Welcome to the board.
Going on nothing but a hunch I think all these issues are related--and are fixable.
But the very wise suggestion to have a vet checkup to ensure that there's no medical issue causing the thirst and peeing is in order. It's probably nothing. But can't hurt to make sure that there's no bladder infection or other issue.
Assuming the vet gives her a clean bill of health, then the two issues here are #1, basic housebreaking and #2 (compounding #1) separation anxiety.
For housebreaking, it's really no harder than setting a routine whereby the puppy goes out on a regular schedule. Every hour wouldn't be too much...but absolutely always after eating, drinking, sleeping, playing. The idea is to create the opportunities for "getting it right" because you are outside SO OFTEN. Correcting her for mistakes is counter-productive. It's all about making it your mission in life that NO MATTER WHEN the urge to pee comes, she is outside.
Another great trick for this is to tether the pup to you when you are in the house. Whenever you are on the computer, fixing dinner, folding laundry, watching TV, the pup is on a leash tied to your belt. Then you're better able to watch her cues that pee is coming.
#2--separation anxiety: In my experience, this is all about you controlling the level of excitement in the house when you are leaving and (especially) returning. These two times of day should be the LOWEST level of energy and excitement in the pup's entire day. Easier said than done, at first. But here's how to start the routine:
When you leave, put the pup in her crate, say nothing, shut the door, and walk away. There should be no cooing, goodbyes, be a good girl, mommy won't be gone long. Nothing.
When you get home, same thing. She will hear you come in and will start to whine and throw a fit, protesting to get out and have a party because you're home. Ignore it. Don't approach the crate, don't speak, don't look at her. She is invisible.
Only when she has given up and given you silence (even for just a few seconds at first) THEN you can release her from the crate (and hurry outside to pee.) Then have the party.
As you repeat and repeat and repeat this routine, she will gradually learn that your leaving her and return are simply NO BIG DEAL...because nothing "magical" happens at those times anyway. You coming and going is boring. Peeing outside (and being quiet in the crate) are the things that get attention from the human--not squealing or throwing a fit.
It's not something that will fix itself in a day or two. This may take several weeks. But it will work. And then, for the rest of her life, you're not the owner who has to rush into the house with an armful of groceries and madly dash to the dog crate because the dog is throwing a fit to be let out.
Cinco | Jack | Fanny | Ellie | Chip | Deacon