"the rest is subsidized"
Then you had better be able to PROVE you provided more than half of her total support. If the subsidy is more than $250 a month, you won't be eligible.
See IRS pub 501 for the detailed information you need to keep.
Ignore TRO. Parents do not have to live with you--and a nursing home is NOT required. (The nursing home is merely an example in the publication.) Support is.