Parental notification laws, where a minor is required to notify a parent before obtaining an abortion, are pretty popular. Most states have some form of them, requiring either that parents be given a heads-up first, or that they are the ones to consent to the procedure. And it makes sense that voters would feel so strongly about these laws: pro-life or pro-abortion, most parents don’t want their child getting a medical procedure of any kind done without their knowledge and consent.
A minor, almost anywhere in the country, is extremely restricted as to what they can do on their own. They can’t get their ears pierced, get a tattoo, even go to a tanning bed, without a parent’s approval first. Considering all that, it makes sense that parental notification/consent laws usually enjoy widespread voter support.