It's a tough one, without more information it's hard to give a really good analysis, but...
I would be very suspicious of "back pocket / texting buddy" kinda dynamic... I mean a month is a
long time, I feel very certain that if she was truly into you, she could find time for even a 20min meeting where you sit in the car and catch up after she finishes work, or whatnot... you see what I mean? It sounds like you're more available than she is, and that's not a good way to be. But of course, she could be legit, maybe she's just full-on about getting enough sleep for work, maybe she doesn't want to see you unless she can fully commit her time to you? But it seems wrong to me.
Look, I had a sexless relationship for a year even though she called me her official boyfriend. And I can tell you one thing, the more you let this "hanging out, making out a bit, not having sex" kinda vibe continue, the more normal it gets, and the harder it will be to smash it in the long run. Here in the GC community we do not really consider you to be in a proper relationship unless you are having sex, so that's something to keep in mind. I didn't really get from your message whether it's "exclusive dating" or just casual dating... but I'd strongly encourage you to think of it as the latter.
Some would say that every time you hang out with her without having sex it reduces your eventual chances of getting sex by 50%... well it depends on the girl of course, maybe she's really into you, maybe she has strong religious views, maybe it's just a logistical issue, but if you want to seal the deal you'd better move fast bro. Another thing to be aware of is, if she makes any moves towards sex or moving things to a private location, and you don't realize or don't capitalize, you will lose her (missed escalation window). So you'd better get in first and make it happen before she gets impatient, too.
I don't really see a problem with her coming over to your room while your parents are present in the house, there's no reason why you have to introduce her to them or anything (just word them up beforehand to leave you both alone)... come in late (like 10pm ish) when they'll be in bed... etc... but frankly I feel she's throwing up obstacles so maybe you already missed the boat there. If she is indeed legit and truly doesn't feel comfortable hanging with your parents... then why not do her in the car? Or in a park... anyway, always carry a sleeping bag, mattress etc in your car just in case. And try to get her to a drive-in movie or just somewhere you can look out over the town lights and make out... or whatever... be creative
Good luck. But just as a precaution, why not read articles on the site and approach some women
-Ray
Edit: Another thing to consider is your texting frequency... if you cut it out/cut it down then it may communicate that if she wants access to your time, effort, comfort and so on... then she has to make time to actually see you in person. I sent the following text to a girl who I met on the weekend: "heyy -- yes very sleepy here too. i hope you had a good rehearsal....i have a fair bit on atm so i might not be able to talk over text as much as i would like. xx" and then I ignored her next 2 texts, cos she clearly seemed to want to co-opt me as a texting buddy (I'm already in boyfriend territory with her, haven't had sex, moving slowly). On the other hand, if you reverse the texting precedent you have now set, you may only succeed in pissing her off, so you'd better be calibrated about it.
