Ms. Brown is a Libertarian, not a Conservative.
A libertarian and a conservative can be the same thing. The ideal of conservatism is not, nor should it be, tied to one party. I know this upsets Republicans (especially the theocratic ones), as they mistakenly believe they carry the conservative flame. Brown is more of a conservative, Justice Thomas exempted of course, than any of the political appointees currently sitting on SCOTUS.