Just off the top of my head... (I researched this pretty thoroughly in the not-so-distant past).
The Billings method is quite reliable contraception for careful and motivated couples.
I can dig up reliable studies if we want to get into the details, but it's beside the point of the thread, so I'd rather not.
It shows that ovulation of the female is totally dependent on gravity to succeed....and the female body secretes typically identifiable liquids to facilitate the movement of the egg by gravity....so, it is as reliable as gravity.
This, however, is misinformed. The Billings method (mainly) relies on changes to mucous ("egg-white mucous") to identify fertile periods. The actual production of egg-white mucous during the fertile time of month appears to assist sperm motility. The passage of the fertilized egg through the fallopian tubes to the womb may or may not be gravity assisted, but that's got nothing to do with the Billings method.
Now, on to gender-preselection.
There was a single Nigerian study performed in the sixties that claimed >95% reliability in selecting the gender of the child solely by timing of intercourse guided by the Billings method for determining time of ovulation. The paper was never accepted for publication, and the results were never replicated.
Most other studies into the effect of timing of intercourse on the sex of the child have shown no great effect. Some studies show some effect, but some od these studies show the opposite effect to the hypothesized relationship. The studies which (in my opinion) used the soundest methodologies consistently showed no significant relationship between time of intercourse and sex of the child.
The "Shettles method" of gender preselection also has very little support. It is similar in some ways, but with other components added to the "recipe".
I guess you mean that you had children of the chosen sex each time?
I believe you, but suggest that perhaps this result had a different cause - like random chance?