Hortensio Is A Boy’s Name Of Latin Origin, Meaning “of The Garden.” You Might Choose This Name If You’re Hoping Baby Will Have Green Fingers, Or If You Just Like The Image Of A Beautiful Garden! It Derives From The Ancient Roman Cognomen Hortensius, Which Is Also The Root Of The Names Hortensia And Hortense. In The Roman Empire, A Cognomen Was A Third, Personal Name That Functioned As A Nickname, And Was Passed Down From Father To Son. William Shakespeare Used The Name Hortensio For One Of Bianca’s Suitors In His Play The Taming Of The Shrew.