One online tree suggests his wife's maiden name might be Harris.
A more likely scenario is presented by J. Phillip Harris of Richmond: After Edward Gurgaynie died, leaving Ann a widow, the unmarried Thomas Harris and she lived as man and wife but she died before they were married.
Edward died in 1616 (probably "after" 1616 intended, because later his death is given as "between 1617 and 1619.")
He was not mentioned in his wife's will of February 1619/20.
Note: The "Adria Gurgany Harris" listed as an Ancient Planter by the Order of Descendants of Ancient Planters (in an online list here) is apparently referring to Adria (Hoare) Harris, who was no relation to nor a spouse of any Gurgany (or Virgany).
While Adria Hoare's husband Thomas Harris "claimed 100 acres on her behalf as an Ancient Planter", hers was an inherited right (she arrived in 1621). See the discussion on Adria's profile (Hoare-184).
While some may speculate that Ann (Edward's widow) and Adria (Thomas's wife) are the same person, that cannot be. Ann Gurganey died, in Virginia, in 1620. Adria arrived in Virginia in 1621 and was named in her father's 1627 will.