The name Jeb is a boy's name of Hebrew origin meaning "beloved friend". Jeb and is often added to lists like Nicknames for Boys and discussed in our forums with posts like "Hunt for our favourite boy names (Alphabet-wise)".
From the experts:
Both Jeb and Jed are very attractive Old Testament short forms with long and bright futures. Jeb's main current association is with the Bush brother and former governor of Florida, but the name was a mainstay on early TV westerns, and then went upscale as the nickname (his birth name being Josiah) of the President on "The West Wing."
Jebediah Obadiah Zachariah Jedediah Springfield was the fictitious founder of the Simpsons' hometown. As for Civil War Confederate General Jeb Stuart, his nickname sprang from his initials--his full name was James Ewell Brown.