The Onion

Although she rejected the labels "conservative" and "libertarian", Rand has had a continuing influence on right-wing politics and libertarianism.Rand is often considered one of the three most important women (along with Rose Wilder Lane and Isabel Paterson) in the early development of modern American libertarianism. David Nolan, one founder of the Libertarian Party, said that "without Ayn Rand, the libertarian movement would not exist".

Sounds very much like a libertarian to me, no matter how much she loathed the label and the party.

I have no idea what you mean by "on welfare"

Not welfare per se, but Social Security and Medicare, both of which she herself considered welfare and thus theft.