Gibson \gi(b)-son\ as a boy's name is of Old English origin, and the meaning of Gibson is "son of Gilbert". Gibbes and variants go back to 1066 when the noble family Gybbes invaded along with William. Actor Mel Gibson.
Gibson has 8 variant forms: Gibb, Gibbe, Gibbes, Gibby, Gibbons, Gibbs, Gillson and Gilson.