One of the few speeches that Harry Browne made that didn't deal with drugs was about abortion. That was his position. It is the only position that the LP could adopt at the federal level.
At the state level, they might take a different position.
You guessed wrong.
Women's Rights and AbortionWe hold that individual rights should not be denied or abridged on the basis of sex. We call for repeal of all laws discriminating against women, such as protective labor laws and marriage or divorce laws which deny the full rights of men and women. We oppose all laws likely to impose restrictions on free choice and private property or to widen tyranny through reverse discrimination.
Recognizing that abortion is a very sensitive issue and that people, including libertarians, can hold good-faith views on both sides, we believe the government should be kept out of the question.
We condemn state-funded and state-mandated abortions. It is particularly harsh to force someone who believes that abortion is murder to pay for another's abortion.
It is the right and obligation of the pregnant woman, not the state, to decide the desirability or appropriateness of prenatal testing, Caesarean births, fetal surgery, voluntary surrogacy arrangements, and/or home births.