Kitten Keeps Peeing On My Daughter.

Since this behaviour started after an argument, it sounds like the louder voices scared/stressed Dory and she marked your daughter as her own territory.

Here's an excerpt from What to do if your cat is marking territory:

Marking territory with urine is your cat's way of dealing with stress. They feel anxious and are trying to relieve their anxiety by staking out their boundaries. Leaving their urine scent is the most emphatic way to say, "I'm stressed."

TCS also has this article:
Spraying: When Your Cat Uses Urine To Mark Territory

How long have they had Dory. She's still pretty young, and is probably missing her mom and siblings. So I'd suggest they give Dory lots of snuggles and love, and try to avoid disagreements around her.

Also, they should wash any clothes, bedding, etc. with an enzyme cleaner to ensure the urine scent is gone, otherwise Dory may continue to pee in those areas.

How To Get Cat Pee Smell Out Of Clothes And Linens

Yes, I agree with all stated above. The loud talking and the stress felt in the air is communicating itself to Dory, making her anxious, she is comforting herself by reasserting her claim on your daughter. She is scared and doesn't know what else to do, the people she loves are angry and she is stressed so bad she is reverting to instinct. She is most likely trying to 'console' your daughter by making sure she knows she is part of the kitten's family by being marked. The next step is to physically attack the one the kitten sees as the attacker, but right now the kitten is too young and defenseless to know this. The kitten is very attuned to feelings, and is very confident, most would run and hide. If the fighting goes on i hope they take it to another room or area, because just like with small children it is something that immature minds can't handle.
Four arguments that stressful in that short of time is alarming too, I know relationships have stressful times, but the two grownups may need some soul searching right now and figure out what is going on. There must be some triggers going on, I hope they sort it out, it usually does not get better, but worse!

Hi. They have to find a way to tone down the arguments. Maybe they can learn to argue in whispers? And, no I am not kidding - here is why I say that:

Years and years ago - with my previous cat, Gracie - we were watching a football game and there was lots of yelling and screaming. Gracie came over to me and kind of partially climbed up my leg pathetically meowing the whole time, as if she were begging for me to stop making such loud noises. She didn't pee, but it was heartbreaking nonetheless - enough so that we taught ourselves to display our excitement in whispers.

This is just a baby kitten. I don't think she's marking anything or asserting any claims. The loud voices may be upsetting her, since that's the only time she does it. Or she might not be able to make it to the litterbox (common in small kittens, but if she only does it while people are yelling then that's probably the cause).

Yes, sometimes people learn things from their pets. My mom had to stop yelling at us kids because it scared the dog .