Does your parish have a "low" Mass, one without music, and a shortened Homily? Very few parishes do this now, as this is really a pre-Vatican II thing, but a few bigger, more traditional parishes here and there do have them on Sundays still....sometimes on Saturdays there is a shortened anticipatory Mass (counts for Sunday if it's after sunset) in late evening.
If your parish has one, take her to that. This is what we did with our ansty ones when they were too young to follow along. The first Mass of the day at our parish is at 8am and there is no music, choir, or any long form of prayers. It is a very simplified Mass, and because of this we are in and out in 35 minutes, instead of an hour or more. Best of all, our kids are not morning people. They are pretty tired and out of it when we get to Mass and don't start to "defrost" until dismissal...just in time to greet Father and hit the road before the crazy happens! LOL.
Sometimes a walk was in order. We go to a very beautiful old church. I had no problem taking a time out to take the kids to the back of the church to enjoy the art, architecture, statues, and other interesting things around the building. You may not be able to pray or focus on Mass but God understands more than anyone the challenges of being a mother! Know that he is more pleased to know that you made the effort to "bring the little children to him," and that you are making Him known to them. They get alot out of even seeing burning candles, the smells of incense, the sound of the music, the beauty of the art...more than you know and don't forget God is probably working on many levels on the entire family in ways you can't understand. We can't always rely on our feelings...there is faith at play here too.
Stop beating yourself up if your child has energy. It's the temperament God gave her. He likes her just the way she is and wants her there, ants and all. Ignore crabby people. You aren't there for them. They need to learn patience and understanding. You and your daughter have a right to be there, noise, squirmming and business and all.
On two ocassions, I had mean old ladies tell me about myself when my baby was teething and crying during Mass. This after communion. Appalling I say. God must have thought so too. Because one of the two times, my father (who is a Deacon) and the Pastor came over to check on me as she was yelling at me and turned to them (not knowing the Deacon was my dad, nor that I knew the Pastor well) to say that I was rude and had no business sitting in the back of the church with a crying baby. My dad just gave her a disapproving frown and said, "I'm sorry my grand child upset you so much. He is teething. I'm sure remember what that was like with your own baby." The pastor followed up with "I don't want a parish where the children are sent away to a room to color and read simple books. I want them to fully participate from birth onward." The woman was mortified and apologizing profusely saying she didn't know who I was. I don't think she got the point that it didn't matter who "I" was...it just mattered that children of all ages should be welcome to Mass.
I missed many homilies due to squirmy kids for years.
So do millions of moms everywhere. It was better going to the shorter Mass, but there was no guarantee of smooth sailing. However, for the most part this worked for us. If you can do so, try it. You might be pleasantly surprised. The only downside is High Holy days like Easter and Christmas where avoiding music and lengthy services is impossible. Your kids might have the same questions ours did..."Mom why is there so much music?" and "Why is Mass so long today?" LOL.
Now they are older and can follow along. They actually like going to Mass now. And enjoy talking about the Homily on the ride home or over breakfast.
PS: A children's version of the Mass is a very helpful book to bring along. The St. Joseph's Mass for children is very nice. It's small, has full color photos of an actual mass, all of the prayers and prompts telling what they should be doing and why...such as standing, kneeling, etc. If she's focused on following along, she may not feel so antsy. Don't use Mass as punishment. If you feel fostering faith is important, you want her to come to love her time at church. Help her to understand why she is there and why it is important to listen to the stories and reflect on Father's homily. There is a message in it for everyone. Even for her. Tell her to listen for the message and to ask questions after Mass if she has any. Perhaps read the readings together BEFORE Mass so she can be prepared and have a better understanding of what's going on. Make Mass a fun thing that she knows will help her to become a better person and one who will grow spiritually. Don't make it a chore, or something "we just do because we have to." Otherwise, Mass is just a waste of time. Kids are smart. If that's what you're radiating that's what they're going to start to feel about it too.
Religious themed coloring books are good as well, if she's not mature enough to participate yet. See: www.adoremusbooks.com or www.autom.com or www.leafletonline.com or www.stpatricksguild.com or www.ewtn.com click on religious catalog, for books and other ideas for church.
Instructional videos about parts of the Mass and traditions and prayers can help add meaning to her experience. You can watch those as a family and there are lots of good books for kids her age as well. CCD classes help too, I'm guessing she's already doing this if she's planning on having her First Communion next year. If she's not enrolled, now is a definitely a good time.