Vásquez is a surname of Galician origin, which later spread all over the Spanish-speaking world. Alternative spellings of the name include Vázquez or Vasques (particularly in regions with seseo), and Vasquez or Vazquez (in countries where Iberian languages are not commonly spoken). Overview. To a lesser extent it also occurs in Portuguese-speaking countries (spelled Vasques), where Vasco is also used as a surname. Vasquez means "[son] of Vasco", and Vasco comes from the pre-Roman latinized name "Velascus", a name of uncertain origin and meaning, but probably Basque or Iberian.
https://en.wikipedia.org/wiki/Vasquez