Yosef Karo, Shulchan Aruch — Yoreh Deah 364
“ If a Jew is found killed, they bury the person as the person is found, without a shroud and without removing even the person’s shoes.Rama: And the same is done to a woman who died during childbirth or to one who fell and died. And there are those who say that a shroud is placed on top of their clothing. And it is customary not to put a shroud on them like [is done] for other dead bodies, [but rather] only to bury them in their clothing, and on top of [their clothing they put] a sheet like [is done] for other dead bodies. ”
