The term describing the time and events surrounding birth is called

prenatal
"Prenatal" comes from the Latin word "pre-," to mean before and  "(g) natus," meaning  birth or before birth The prenatal period (the time and events surrounding  birth)  is divided into three stages:1) the germinal stage, 2) the embryonic stage, and 3) the fetal stage

As what he you go get the hot dog ; )