Seems to have originated with some form of the name VERE according to Bill Weir at “The Name Is WEIR”:

The de Vere name has been recorded, with and without the use of “DE” or “de.” This family has been recorded over the centuries with the following spellings: Ver, Vear, Veare, Veer, Vere, Veir, Vire, Weir, Wier, Wear, Were, Wyer, Spear, Speare, Spere, ·vear, Fear, Fere and Revere.

It is interesting reading. He did not include the names of Via, Viar, Viah, Vier, Vyer and I think the reason is that the “VERE” names all rime with “fear” and the “VIA” names all rime with “fire”.