In reply to flopsicle:
*waves* Hi, I'm female and 40, though not + yet ....
Okay, so generally when people refer to being able to do a pull-up, they mean "from hanging" -- depending on where your pull-up bar is, if you do it from standing you may already be almost halfway up, so you're losing part of the range of motion and not strengthening the muscles that initiate the movement at the bottom of the pull.
Generally, I think it's true that past a certain baseline, how many pull-ups you can do has minimal correlation to your climbing ability -- but I suspect the people who say that there's no correlation between pull-ups and climbing at all are often the people who are way above that baseline.
If you've got the energy and motivation for extra strength training, I think it could definitely be worth working to get to the point where you can do one or more full pull-ups from a deadhang, at least.
Being female and older can unfortunately make it tougher to build upper body strength than if you're male and/or in your twenties. That doesn't have to be a limit -- it means putting in a bit of extra work to boost your strength will potentially have a big pay-off.
The generally recommended strategies for getting to your first pull-up involve "negatives" (starting at the top position of a pull-up, then lowering down to a hang as slowly as you can), and/or assisted pull-ups (where you use something, whether it's a giant stretchy band or your feet on a chair, to take enough of your weight off so you can do a pull-up from a hang).
You can also do inverted rows, if you've got a sturdy table edge you can hang under:
You'd want to be doing these two or three times a week to see progress.
In terms of your actual climbing -- it can help to have a consistent strategy for your sessions. You don't have to be rigid about it, but going with the "9 out of 10 Climbers" strategy of deliberately working on your weaknesses can help hugely.
So if you tend to struggle on powerful overhanging boulder problems, then you could decide that you're going to make yourself spend half an hour out of each session working on powerful overhanging problems, for the next month (then evaluate at the end of the month). That still leaves plenty of time for nattering and playing. *g*