Jcleppe is correct for AROTC and NROTC the scholarship will be tied to the school. You may be confused because for AFROTC it can be taken to any college that accepts AFROTC scholarships.
Additionally, create a file/folder that you have easy access to for your child. Copy every piece of correspondence, be it snail mail or email. This should also include DoDMERB info(dates, docs, etc), and recs. I would also suggest that you place a copy of their BC and SS card in it too, along with their banking info.
Trust me, our DS is a SR in college (AFROTC), and I still pull out something every yr for him. LY (jr) I had to pull out for his TS clearance the recs. Soph yr it was the date of his DoDMERB. Freshman yr it was his SS card. Believe it or not, TY it was his banking account, his stipend keeps getting bounced back to DFAS, an account that for Sept. worked, but now because OCT is FY 11/12 is lost in the system.
This is far off, but place it in the back of your mind now. To contract they will need the official BC and SS card. Copies are not allowed. We sent out DS with the official ones, but also a pre-paid overnight so he could send it back to us immediately.
Again, a reason why to make a file now.