How did St. Veronica get her name?

***Vignettes from Nature***, a book written by Grant Allen and published from London in 1881 has this interesting note: the piece of cloth with which Jesus' face is believed to have been wiped on his way to Calvary was originally known in Latin as 'Vera Icon' meaning 'True Image' which was adapted to name the woman saint who had done the act of compassion.Hence the name St. Veronica. There is no reference of the incident in the Gospels. But, it is mentioned in the 'Via Sacra' or Way of the Cross , a Catholic devotion commemorating the Passion of Christ. Can someone substantiate how St. Veronica got her Name? PS: There is a question on CSE involving the subject, but does not answer my question. https://christianity.stackexchange.com/questions/48014/where-did-the-account-of-veronica-originate