Are you in the wrong?

Well, yes, for two things. One is "Patty's Day" (Patty is short for Patricia, Paddy is short for Patrick FYI. "Patty's Day" gives Irish people the rage like you wouldn't believe). The other is giving up your night to pander to her drama in your room.

Letting her dominate the scene is only adding fuel to the fire. Your girlfriend had the right idea, if a bit bluntly. Saying something at the beginning like "hey, Taylor, just so you know, X is going to be here. I can see you're having a hard time dealing but we'd prefer not to get caught in the middle of it. Feel free to peace out if you need some space, no hard feelings, we'll understand and we can catch up some other time" (while drawing her aside towards the front door) might have been better than letting her keep the drama hurricane whirling in your room. Obviously Taylor is not the queen of subtle hints so she would probably shrug it off.

And later when mid-rant to yet another person "hey Taylor, I can see you're getting really upset and being here is only hurting you more. I don't like to see you this way and it's not a good vibe for the night. Being here isn't good for you. Let me call you a cab, you go home, get into your pyjamas and wind down with a glass of wine and some good music. I'm gonna walk you out, OK? Let's get your coat."

Then repeat all of that over and over as drunk Taylor cries about being thrown out.

Do the same thing about the "bridges being burnt" texts. "No worries, I totally understand if you need some space to work through your feelings. Being around X must be hard for you. Well, I'll be here if/when you feel ready to move on and be part of the group again, so you do what's right for you."

Make it really clear that she's the one who is creating the drama and distancing herself, but that no one is going to go with her.