Hire a lawyer and get the ticket reduced to a non-moving violation which should be easy to do if this is a first offense. DO NOT let your insurance company know you got a ticket!
Should be easy to do -- 39 mph isn't moving!
Good grief... that's swallowing a spider to catch the fly. A lawyer would cost a lot more than the ticket or the increase in premiums.
At 45 on a first ticket, I'd guess she'll be OK with this one if she's been with the company a long time.