Most people have heard about people going into labor during a full moon because the gravitational pull will make it easier for the water to break. If this holds true for Molly she will be born around 1:04 AM on June 1st, so if you have yet to make your prediction on Molly's web site, http://www.mollylafferty.com/molly/pickdate.php, this is your chance to cheat a little.
For more information on studies showing the childbirth is more likely during a full moon see the following studies :)
Leiber, A.L. Human aggression and the lunar synodic cycle.
Guillon P, Guillon D, Lansac J, Soutoul JH, Bertrand P, Hornecker JP. Births, fertility, rhythms and lunar cycle. A statistical study of 5,927,978 births
Joshi R, Bharadwaj A, Gallousis S, Matthews R.Labor ward workload waxes and wanes with the lunar cycle, myth or reality?