From this QDMA article:

1 p.m. to 10 p.m. – Peak hours for fawn births to occur among 147 pregnant does studied by Dr. John Kilgo and others with the USDA Forest Service Southern Research Station. Though fawns were born around the clock, 63% of births were concentrated in afternoon and early evening.

4 – Number of pregnant does out of 28 (14 percent) being tracked by North Carolina State researchers that were found dead at the site where tracking devices indicated they were giving birth. Evidence suggested all 4 were killed by coyotes, which may have taken advantage of the does’ vulnerable state during birth, killing both the mother and fawn. The study took place at Fort Bragg and also found that 55 percent of collared fawns were killed by coyotes or bobcats.

69% – Proportion of 23 “multiple paternity” cases in a Texas A&M-Kingsville study that involved at least one (buck) sire 2½ years or younger. Since mature bucks were present in the age structure, researchers suggested that young bucks were able to breed by sneaking an opportunity with an estrous doe just before or just after a mature buck was on the scene.