[dottiesyrky]

Apart from wipes I have no solution apart from stopping the throwing up events!
From this site, it seems fairly common for some dogs to throw up foamy liquid when their stomachs are empty. It is probably GERD, as humans get.
My dog occasionally had this happen, especially in the early morning, and my vet prescribed Pepcid. My dog is 10 lbs and I give him 2.5 mg of a 10 mg tablet with his last small meal before bed, at 8 PM. I feed the normal kibble/ chicken / rice meal mix, but only about a quarter of the usual meal quantity. I do this rather than treats and snacks. After a short post dinner walk he sleeps from 8 PM to 6 am and is fine the next morning. I usually feed him on waking. Should he have a bad stomach I give him 5 mg at night and then again with breakfast if he needs it. This drug seems well tolerated and has worked well so far.
I think it is milder than Prilosec but your vet would better advise on the right antacid and dose for your dog.
Hope you find the right meds and that this nasty habit goes away and she no longer has the stinky face.
By the way, nothing was found on testing, just an acidy stomach!