I am sorry your girl is not feeling well.
I see you feed her a dry food diet. That is the most common cause of vomiting in cats. It also causes overweight, diabetes and urinary tract issues.
Please read articles written by a feline vet:
The dog food may have set this off because it is not balanced for cats.
Go out and get a few jars of human baby food chicken or turkey with no onion or garlic.
Feed her only that for a few days to rest her GI tract.
For an antacid add one quarter of a ten mg pepcid A/C (famotidine) to a tablespoon of baby food every 12 hours.
Once she is vomit free for 48 hours she can return to her former diet. However, in order for her to lose weight naturally and safely she should eat canned food. It is much lower in calories and carbs than dry food.
Please let me know how she is doing.
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