I have a 2-year old English Pointer that shows to be gun shy. Any tips on how to fix?

A single shot here or there isn't so bad but if she's real close or if there are multiple shots she gets spooked. This past Sunday (on a private club) she actually sat down and did not want to re-engage in the hunt a couple times after a we let loose a few rounds in succession. I'm thinking about taking her out while we shoot trap and literally sitting with her on my lap about 30-yards away while guys shoot. My thought is that she will feel safe (i.e. not scared) while I pet her despite the shooting noise. What do you think?

Thanks in advance,