Hi S., I'm so sorry your baby is giving you a hard time. I know how tough it is... My first never slept through the night untl she was 2.5y! My second slept like a dream until he hit 4mos. Between the age of 4mos and 7-8mos, he was awful! On a good stretch, he'd sleep 2.5-3hrs, but normal for him was squawking at least once every hour. I tried tylenol, white noise, feedings, climate control... nothing worked but time.
I am not a fan of crying it out, but I did try it once out of desperation. I'll never do it agan, poor baby took 90mins to finally exhaust himself and fall asleep. In my experience, time was the only thing that helped. He's 10mos old now and will sleep 4-6hrs straight. That's fine with me!
Make sure she doesn't have an ear infection (Signs include loss of appetite, pulling or swatting at ears, and crying when laying down because it hurts their ears to lay flat.) And the teething will be going on for the next 2 yrs, unfortunately. You can freeze a wet washcloth and let her chew on it for relief.
Good luck with your little one.
J.