Well, that's an interesting question. Owen is certainly portrayed as being more conservative, especially by her opponents. This very same parental notification case came up in the arguments against her in the Senate Judiciary hearing, because she and Gonzalez were on different sides.
But it's clear that nobody making the arguments had actually read the whole case. There were separate dissenting opinions in the case, and Owen's dissent centered on her contention that the trial court should have been given leeway to make the determination of fact in the first place.
Her dissenting vote in this case was instead construed by leftwingers as, of all things, "Judicial Activism". She was accused of wanting to impose her views against abortion despite what the Texas law said. In fact, she said no such thing.
I think she and Gonzales are both equally fine judges, and I don't know which is more conservative. You certainly can't make the determination based on how they voted in that Texas case.