Jacki - I was you a few months ago!
It's rough, really really rough, going day after day with just not enough sleep. Looking back, I don't know how I managed. Dd wouldn't take a bottle, Dh wouldn't get up with her at night, so it was just me, and for about 2 months, I co-slept with her most of the night so that I could even get 5 hrs broken sleep! I mean, for a while, she was waking every hour all night long. But it got better. And it keeps getting better.
Around your dd's age, it was particularly hard, because she couldn't sit up and play on her own for long. I coped by carrying her around in a Bjorn when I could and trying to sleep when she slept. If I did go out without her (and I can count the number of times I did this on one hand!), I planned it around her feeds. By around 6 months, I started trying different sippy cups to see which might work - I had given up on bottles by this time! I practiced in sippy cups with water throughout the day (BTW - the Nuby with the soft silicone spout is the best for her!), and now she can actually take some milk from it too. Plus, once she started eating solids, I could go out and if necessary, someone could give her a snack to hold her over.
I guess what I'm saying is that you're not alone in feeling this way, but it will get better. Part of your short temper and irritation likely stems from fatigue and the stir-craziness that some of us get when we don't get time away from our lo! I also found it helped to get out with other moms and babies - Movies for Mommies were a life-saver, if you have them in your area. If you can get an hour or 2 away with someone else to watch her - do it! You definitely need to take care of yourself - and that means trying to relax and have some me time.
Weaning her might seem like the easy solution at this point, but think carefully. If she doesn't take a bottle, it'll be a struggle. Plus, it's much easier to whip out a breast than to wash and prepare formula! She'll be getting more and more independent every day - you'll see!
Like I said, I went through it. You'd be surprised how many moms do and survive...even if it seems unbearable now! If you want to talk or just vent, PM me anytime!