First thing you need to do is feel the crop in the morning before they get going for the day. Sometimes chickens are pigs and will over eat during the day. The crops should be empty by morning. If the crop is still full in the morning, there is definitely a problem.
Is it soft and squishy or a hard lump?
A hard lump is an impacted crop. Could be from something the chicken ate, especially grass. Chickens love grass, but often it causes impaction. So if it is impacted, you need to separate her and withhold food for 24 hours. Squirt some olive oil down her throat with a syringe, about a teaspoon or so and massage the crop for about 10 mins. Do this several times a day. On the next day, you can offer soft foods only, like hard boiled eggs. No hard seeds or anything that is not water soluble.
If her crop is soft and squishy, it is a soured crop. You mentioned she barfed up some smelly stuff. A BIG clue to soured crop. Which means she has a yeast/fungal infection in her crop. Could be from anitibotics or just her system out of whack. The crop needs healthy bacteria to digest food and like humans, need probiotics to get it back on track.
So, in the sour crop situation, first thing is to offer up all your chickens raw unfiltered apple cider vinegar. Mix 3 tablespoons to one gallon of water. It will help all your chickens. The apple cider will help stop the fungus from multiplying and keep the chickens system acidic. It will help kill off the crud in the crop. And it doesn't hurt to offer this up once a month as maintenance.
Next, only let her have soft foods...hard boiled eggs, yogurt, (which is good for the probiotics...also ACV has probiotics in it also), wet her mash down so it is soft. NO seeds, hard anything that has to be worked at digesting.
Next, when she is doing the squiggle neck thing and is uncomfortable, you need to vomit her. So hold her like a football in one arm and lean her forward only. Never backwards. Support her body with one arm and while leaning her forward, massage her crop to let her vomit up the gunk. Only hold her like this for no more that 10 seconds so she can breathe. Flip her over again to get as much of it out as you can. You will never get it all out, but that stuff is toxic and needs to come out. Do this a few times a day.
She may be getting cold at night, and a cold chicken will not move their crops. So you may need to separate her at night and keep her under a heat lamp. A cold bird will not eat either and she is going to lose weight.
Keep this up for a few weeks. Yes, it takes awhile to clear up sour crop. But just keep at this and hopefully she heals. Good luck with your baby!