Are you sure she is not older than you think? Do you have her papers with her foaling date? Teeth are less and less accurate as they age, my 28 year olds teeth said 20ish.
Anyway many old timers start having issues with infections. They seem to get them more easily, get more of them and cannot get rid of them. It is one way the body tells us it is tired and wearing out.
Think getting that culture is a very good idea and hopefully not too expensive but if you cannot do it? Please, please, please do NOT feel guilty. Death comes at its own time, you have done nothing to hasten it and have tried to fend it off, maybe it is her time. Maybe she snaps back, maybe not.
You have been an angel for her. Few others would have taken her on. Know you had plans for the next years with her but what is best for her? Leaving in peace instead of slowly wasting away with chronic pain and suffering might be a gift you can give her even if it is not the gift you dreamed of.
Tough choice but do NOT blame anything you have or have not done, its just the way of things. Fill her with pain killers and spoil her then let go.