Ayn Rand wasn’t a left-libertarian. Her outlook was too self-centered and egoistic. Left-libertarians are collectivistic bleeding hearts who have improbably latched onto anarcho-capitalism as a way of fighting their great enemy, the corporations. They would be standard statist-collectivists like the rest of their lefty comrades except they believe the state has been hopelessly corrupted by the corporations and exists only to serve corporate interests. So they’re stuck trying to implement their leftist utopia without a state. It’s weird stuff but it’s not Ayn Rand.
Maybe so. But you may find this memoir of Murray Rothbard’s enlightening. He had been part of the Rand inner circle that met in NYC:
http://archive.lewrockwell.com/rothbard/rothbard23.html