Actually Rand and Rothbard disliked each other rather strongly during the latter half (or so) of their acquaintence. Rand started accusing libertarians of "stealing her ideas" and claimed that libertarianism was "objectivism with its teeth pulled out". She also made some personal attacks against Rothbard, the specific content of which I do not remember. Rothbard, in turn, really went to work against her statist views and some of her economic thought which he believed to be in error, having previously withheld his opinion on those points of disagreement between the two of them.