My personal advice is that I wouldn't have her take the GED. I don't know if some states say they "require" a GED, but homeschooling is legal in every state and a homeschooling diploma with a portfolio/resume should suffice. If a student has all the necessary education/knowledge to "graduate" at a younger age, I would demonstrate that in another way. Better to take the SAT or some other standardized testing. (I realize that those are for college admission.) The GED has a stigma of "dropout" attached to it...it states that the student never "finished" their education and may make it harder to get a job or apply for further education.
The stigma attached to GED is only true dependent on the person getting it.......I have a friend whom Ive known since birth, Her parents were very influential in the decision to get her GED and both were college grads themselves. Anyway long story short this girl got her GED at age 16 went away to a boarding junior college then from there she attended USC and after USC MEDICAL SCHOOL!!!! The girl had graduated with her MD degree as a Pediatrician and blew away the suburb she lived in to the point they gave her her own day and a key to the city at the mere age of 24. Iam currently preparing my A student to take the GED. You can still take the SAT to cross over into a four year college via http://www.collegeboard.org/ and it prevents teens from getting lazy after high school graduation. In my case the school system where I live is simply not working. Its distracting to a child that wants to learn. Employers and Educational institutions alike do take into consideration those that are trailblazers...i.e. Child geniuses that are 16 year old business owners. BTW my friends parents are Medical Lab Technologists and Engineers and owned and successfully operated a Medical Lab for over 30 years in the inner city and there three daughters are Pediatrician, Dentist, Nurse. Check this page out! http://pinterest.com/gaylef/famous-people-who-got-their-ged-so-don-t-give-up-e/ You'll be surprised to know those who have one and are very respected. Just thought I'd interject not enough people let this info out and there are kids being bullied that could still make it. God Bless!
Well, I don't have any experience with Ohio homeschool regulation, but in my state, homeschooled students can dual enroll at the local community college at 16. They begin taking credits for their Associate's degree, and at can then transfer to a 4 year college- no GED, no SATs involved. They do need a transcript, and they need to take the ASSET test, but that's it. You really should see what the homeschool to college transition looks like in your state.
I think GED is a fine option. But I would seriously look at it when the time gets closer. If she has any want to go to college at all you may want to hold off so you can duel enroll in hs/college . You get credits for both but the college classes are cheaper or sometimes even free with duel enrollment. If you play your cards right she can graduate from 'highschool' with an AA or even a BA degree and never actually have to step foot in a high school classroom.
Once you've passed your GED test though you are considered finished and this is no longer an option. Another thought would be to look into Job Corps. Even if their isn't one in your state they have dorms and campuses so she could live in another state for it. She can take her GED as well as get certified in a profession. (this is an option even after getting her GED but they have an age limit of.... errr. 23 or 25 I think.)
I have a GED and a BA and a JD. The GED didn't get in my way at all. I don't think you have to worry about a stigma because there is no reason for her to ever reveal that she has one unless she wants to. Otoh, I'm not sure how much reason there is to do it unless she needs it to get into college. That's why I did it. I had taken about a year and a half of college courses already, but I couldn't get into a degree program without the GED. A GED, though, is not a "degree" you're gonna wave around and expect to get a job. If it were me, I'd wait and see if I need it for anything. It wasn't a big deal to do.
Are you thinking you're going to homeschool, or just let her go with an 8th grade education? I know someone who has a similar background and has done *very* well for herself. Money-wise, she's doing way better than me and dh put together, and we're both lawyers. It can be done. But it sounds a little scary to me. Big leap of faith! But I feel that my odd approach to education really worked for me. If my kids do the same, I may not be able to breathe for a couple (or was it ten?) years, but I do hope I could sit back and let them do what they need to do... within reason.