Jessup Is A Boy’s Name From The Biblical Hebrew Joseph, Meaning “Jehovah Increases.” Joseph Ultimately Derives From Yehôsêph, Which Has Contemporary Variations Like Yossi And Yosef. Jessup Hopped On The Scene As A Popular Personal Name During The Middle Ages In England As A Phonetic Spelling Of How They Pronounced Joseph In Middle English. A Vintage Form Of A Historical Name That Spans Millennia, Jessup Is A Classic Choice For Those Seeking A Title Rich In Origin.