In reply to Lord_ash2000:
few things -
+ bouldering can be pretty demoralising when you start. The first time I tried bouldering indoors properly I was able to lead VS, second HVS, yet couldn't even do some of the V0 problems. V0! I stuck with it and got better but I'm still not a big fan of bouldering and due to not being all that strong I struggle inside compared to people I know who I can outclimb outside (even outside bouldering by the way, I think strength is more important on plastic at times). Is she happy trying lots of V0-1 and realising that falling off is part of it or is she expecting to get up quick and first time? Might be worth reassuring her that it's normal and in a few weeks she'll be much better.
+ overhanging routes don't suit everyone. Does she have to do overhangs? I know it can be a bit restrictive at some walls but if she's going quite regularly she may benefit from doing routes without them for a bit longer. This will help her build up strength and she'll enjoy it more so won't be put off.
+ if she can't manage a pull up see if she'll do deadhangs or try and do as close to a full pull up as she can. If she'll do that half a dozen times a day (even if she can only dead hang for a few seconds atht estart) she'll soon build up to being able to do one or two pull ups and then obviously build from there.
+ does she have to build strength? it sounds like she's got good technique and is quite new, remember it's about her enjoying it. She doesn't necessarily have to climb brutal overhangs or high grades. Also you might be the wrong person to push her on stuff like this. She may benefit from climbing with someone else, possibly another girl, who she may not feel so feeble next to.