Unmarried women without children are in the same position as unmarried men in most cases in terms of assistance, public or private.
I only knew one single dad who applied for assistance (bad year for the local economy) and he had a heck of a fight to get so much as food stamps.
Most of the aid programs are oriented toward single mothers, but when the State steps in as 'daddy' (or at least in the traditional role of provider), few women who enter the programs seem to get out, at least while their children can be listed as dependents.