I am a paralegal and have been for about 9 years. I didn't take a course, but I have a BA in Poli Sci (thought I would go to law school, but decided not to for some silly reason...LOL).
Anyway, I agree to check out the ABA as well as the recruiters in the area. Every state is different in what they require for a paralegal, some require a Paralegal certificate to be a paralegal, some don't and my BA with prior paralegal experience is enough.
I don't know about the program she wants to go to, but 6 weeks doesn't really sound like a long enough time to provide all the necessary training that most programs I have read about provide.
Before I realized I didn't need a certificate to be a paralegal in Ohio (we moved here from NJ), I checked into some programs around the area.
Some community colleges have a 9 month or so program, there are some colleges that provide a program as well (usually 2 years). These classes include how to research, the basics of law, etc. I don't know if a 6 week program can provide all that. You can also try to call some employment agencies and see if they can tell you about good paralegal programs in the area or if they know if the 6 week online course would be sufficient.
I make decent money, and I work from home for a great company, but of course that's rare to find a paralegal job from home.
I have worked in law firm and a corporate setting before we moved to Ohio and the corporate setting is nice and a bit less stressful than a law firm. The stress level really depends on the job and type of law the attorney/s she will work for practice. Like I said, I did corporate law and it wasn't that stressful, we didn't have clients demanding stuff from us on a deadline. In the law firm I worked for I did Real Estate and Corporate law and it was during the time of the huge real estate bubble so that was a lot more demanding since we had so many clients and such short deadlines as well as large companies that always needed stuff ASAP.
I really like my job and the profession I'm in, I do at times wish I had gone to law school...LOL. But I know I wouldn't have the nice job I have now if I was a lawyer. I get to make my own hours, work from home, etc.
Just make sure she doesn't get sucked into a sub par program because it looks nice and quick. Good luck to your daughter!