A hatchery was a facility where a species' young, typically known as hatchlings, were hatched from eggs.
As they were hatched from eggs, the Raxacoricofallapatorians operated hatcheries. After she was regressed to an egg by the Heart of the TARDIS, Blon Fel-Fotch Passameer-Day Slitheen was taken by the Ninth Doctor, who intended to leave her at a hatchery on Raxacoricofallapatorius, where she would be adopted by a new family and have a second chance at life. (TV: Boom Town) Ultimately, she was adopted by the Jingatheen family. (COMIC: A Confusion of Angels)
Ice Warriors spent their toddler years in hatcheries, where the children would tell each other jokes. (COMIC: Emperor of the Daleks!)