Here is a portion of my reply to someone else. This advice goes for any beam fear
"there is a rule my gym follows for new skills on beam. And that is start training early, and don't move up until you are bored of where you are and can make 5/5.
for example, I started training my bhs loso in level 7. Had it nailed on the floor before we moved to beam with mats, and every step up from that I needed to be completely confident and bored of the step before. We actually had to ask the coaches before we moved up, bent legs? nope you have to stay where you are until you fix that, slightly crooked? fix that before you move up. I now have it consistent as a L9 for when I need it.
My coach would never stand with us on high beam because she said that if were scared enough to not do it alone, we shouldn't move up high yet.
My point is, coaches that push you to move things up too fast and don't teach you proper technique create inconsistent, fearful gymnasts."
^I love this approach so much because it creates rock solid skills.^
More advice:
Say words. I used to say "straight, go, stick" for my bhs bhs series. And then I would remember to jump straight back, go for second bhs, then hold my lunge. As I said it my body naturally followed along. Tailor words to specific fears or weaknesses so you have cue words that guide you.
Repetitions, repetition, repetition. Make sure you are not avoiding the skill due to fear, that makes it scarier, and then when the time comes you NEED it you have to rush and that creates an inconsistent, fearful skill. That being said, you don't want to overdue reps on days, (don't want injury issues) but what you want to do is consistently work on it and not skip days.
Visualize!! I think about what it looks like to go for the skill (in 1st person) before I do every time. It helps me go for it and not back out due to fear because I know what to expect and I am not caught off guard doing the actual series.
Good luck to your daughter, its truly a tricky series.