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Hello, this sounds like she has an upset tummy. The lethargy and the vomiting along with the licking of the lips and possible drooling all indicate and upset tummy. You may want to try and feed her a bland diet of boiled chicken and rice for a day or so to give her tummy a rest. If she seems like she is gassy you can give her a gas x to try and cut down on some of the gas or even a tums to help with the indigestion. If this however does not help and or she gets worse she should see a vet as soon as possible to try and diagnose the problem at hand. I hope this will help you but if you need anything else please be sure to let me know.
Here is a link to information on Gas x and tums: