Wow, I have the same exact problem. My 4 new Hampshires and 1 copper Maran were all laying every day on cue. The Maran was the oldest established hen and when I got the 4 new Hampshire red she stopped Laying it seemed until the other 4 started laying regularly. They come inside to lay in a...
Your vet didn't discuss what could be going on with her? If she has something chronic and her quality of life is not good , the draining and antibiotics will only prolong the inevitable. I'm sorry she is for sure a beautiful lady amd I know you love her.
R