Be careful with this.
There's $1800 stimulus (recovery rebate credit) money on the table for her. You will lose the $500 Other dependent credit (she's too old for the Child Tax credit) plus (possibly) the $2500 Tuition Credit.
She is not (most likely) eligible for the $2500. It sounds like she does not have enough income (and tax liability) for the $1500 non-refundable portion. Even though she supports herself, she does not do so with earned income, so she is not eligible for the $1000 refundable portion.
As to self support, savings (in her name, including UTMA)) are self support. 529 plans are not. Scholarships are not. Student loans are unless the parent co-signed.
The support value of the home, provided by the parent, is the fair market rental value of the home plus utilities & other expenses divided by the number of occupants. Even if she is away, at school, she is considered to still be living at home. School is only a temporary absence.
The IRS has a worksheet that can be used to help with the support calculation. See: http://apps.irs.gov/app/vita/content/globalmedia/teacher/worksheet_for_determining_support_4012.pdf
