I have little of my own that's worth saying on the Texas HPV issue, but I found Eugene Volokh's post to reflect my general view. His concluding summary is particularly good at encapsulating the main point:
But as a moral matter of individual liberty, it seems to me that there's little support for a claimed freedom from getting immunized -- and especially a claimed freedom from getting your underage children immunized. A requirement that people not allow their bodies to be media for unwitting transmission of deadly diseases strikes me as quite compatible with a generally libertarian perspective on the world.
I should also note that, despite the Family Research Council's attempt [scroll down to the second story] to play this off as merely an issue about whether the government can take away parental rights to make decisions for their children, this could just as easily be seen as a pro-life issue. If parental rights to make decisions for their children were an absolute, then parents should be able to force their daughters to have abortions. The FRC wouldn't want that, would it? Then why is it opposed to a similar life-or-death issue where the government can significantly reduce the effects of risky behavior on those who did not take those risks?