Rest easy. The elderly are by no means an easy political target. There are a lot of them and they vote. That is why Social Security is the "third rail" of American politics. The AARP, for example, is a not-to-be-screwed with lobbying group.
I'm sorry for any difficulties your parents are enduring. That sucks. I think, however, it is misplacing the blame to hold impoverished single mothers responsible for possible cuts to benefits for the aged. I believe that whole argument is a misdirection on the part of those who want to shirk their responsibility to society: as long as they keep those who are struggling at each other's throats, they get to walk away without a backward glance while we bicker over the crumbs that fall out of their pockets.