She gave her four syringes to give to the goat, one every third day.
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Well first lets ream the vet a little, there isn't an antibitotic that will keep it's bloodlevel up in the goats quick metabolism, when given it every 24 hours let alone 36! A got with a temp like this needs meds every 12 hours.
If the diagnosis is inner ear infection fine, use the meds (find out for us what they are so we can give her a better idea of how to use them) but also give mega doses of B1.
In fact this all sounds very much like polio (poliomilitisencephalitis) along with all the wonderful information the vet gave her :no: I would start her on B1. She can use any B complex she can fine at the feed store giving the dosage for the B1/thiamin only, much harder on the goats liver than purchasing plain B1 from the vet. So have her give the doe 15cc which is 3 times the amount you have to give if you get the vet script, subq, and every 6 hours. If she sees improvement, do not stop giving it.
A doe with a sluggish rumen (did she get more grain than she is used to recently, moldy hay doesn't only cause listerosis but can harm the flora of the rumen) and especially if you see she is not chewing her cud, is not producing vitamin B1 in her system. Hence no appetite, it would be like you eating even though you know you are going to throw up. She can't chew or ruminate her food, so why eat.
Do not let this doe get dehydrated, make the vet give her lactated ringers, and IV set up is soo convienent to keep around, not for giving in the vien, but for putting under the skin, making large handful size mounds of fluid up high over the shoulder, the doe can then drink some, but also absorb this fluid if she needs it. With kidding season coming I hope everyone gets these to put in their kidding kits. You can also purchase lactated ringers you syringe up yourself, just goggle a search, I get mine from pipevet.com since they are not just a supply catalog but a vet clinic.
If after the 3rd shot she is not seeing improvement, than go down to the bottle dosage, since it is not polio, the vet was correct, but she still needs the B1.
I would also go get a couple of tubes of Probios, give her 5 grams everytime you give her shots of anything. When a doe is down like this I also put them on a sulfa, since cocci is such and opportunistic problem down here, she will also need to be wormed when this is over.
Good luck with the doe. Vicki
Edited to add: Just curious how much pennicillin she was giving? Any 300,000 unit pen is given at 3cc per 50 pounds subq, twice a day if she is running fever, down to once a day once getting better, 5 to 7 days, sometimes as high as 10 days. With amoxicillin being the number one drug of choice for doc's with kids ear infections back when my kids where growing up, would have thought a correct dosage of pennicillin would have nipped this in the bud, if it is inner ear. Just curious. Vicki