I'm thinking since Dublin hadn't had her feet done for awhile, she was sore! Poor mare. Maybe a tranquilizer or at least some pain medication before the farrier tried to pry off her shoes.
That may be why she was acting up so much. Kudos to the farrier for putting up with it until the job was done.
When working with my farrier, I hold the horse's lead rope and stay on the same side as the farrier. He knows if the horse acts up, I will pull her head towards me and her hind end away
from him. That is one way to help.
Do you have a good working relationship with this farrier or was this the first time you used him? Maybe having a chat with him and asking him how he's like to proceed, apologizing for the bad session and asking how to fix it. That's what I would do. Well, if you like his work and want to use him again.
Another thing I do with my horses is keep their focus on me if they start to act antsy. I'll lightly play with their muzzle, working on the same principle as the twitch but without a twitch. I'll lay a hand on their neck to assure them. If they do act up, I will be the one to discipline them, I apologize to the farrier and ask where he would like them so we can continue.
I hope this helps you a bit.