You don't say why your daughter is receiving monies from the county. Unemployment? (usually paid by the state - not the county).
Generally, if the monies being paid to your daughter are for her to pay rent with (among other things, and it's usually designated for rent as one of the things it's for), then whoever she pays that rent to is expected to report it as income on their tax return. So you'd report it on SCH E as a part of your personal 1040 tax return.
