"Results 1 - 10 of about 22,000,000 for mother's rights. (0.23 seconds)."
Hmm... it seems that you're wrong about that. And the number of websites listed in Google is a poor measure of something's worth. After all, there are 2,810,000 results for "obama citizenship" even though that issue has already been settled.
Also look up alien abduction, underpants gnomes, and other urban legends.
I don't claim that courts in the past favored mothers, but in the present, there is no gender bias under the law.