Young Hearts

The girls name is Janet, you can find her at the crimson caravan company located just outside Freeside's East Gate. You'll go talk to her and then you'll find out she wants to meet Jack also. You'll then need to head back to Nellis hangers and get permission for her to enter from Pearl. Once Pearl gives the go ahead you'll go back and speak with Jack, he'll give you a boomers outfit and ask you to bring it to Janet. Go back to the crimson caravan and tell Janet she has the go ahead to enter, she'll then ask you to speak with The boss Alice McLafferty, you'll need to convince her to pay Janet what she owes and and let Janet out of her contract. Then you'll go back and speak with Janet let her know the outcome and give her the boomer outfit. Now you need to meet her back at the base, this can be a bit tricky, I suggest fast traveling to Fields Shack just southeast of the base. Once you get the the shack, Janet will be running her way from the crimson caravan, catch her and run with her all the way to the gate of the base, otherwise without you being there the base will fire on her and kill her. Once your through the gate the mission is successful, just meet back up with Jack and the quest will be completed.