Etymology
From Latin orphanō̆trophīa (cf. orphanō̆trophīum, from Ancient Greek ὀρφανοτροφεῖον (orphanotropheîon)), from Ancient Greek ὀρφᾰνός (orphănós, “orphan”) + τροφή (trophḗ, “nourishment, food; nurture, rearing, upbringing”). By surface analysis, orphan + -o- + -trophy.