All Too Common has a nice little article on St Veronica over at his blog.
The St Veronica story is beautiful. In times past I found it troubling that this episode is featured in the Stations of the Cross. But it is certainly an old tradition and it piously depicts those women who so mourned Our Lord's passionate journey to Calvary.
I though Mel Gibson's depiction of the Veronica episode in The Passion of the Christ was perfect. Whatever her name was, we should honor her memory. It's worth noting that her name was not likely "Veronica." The name Veronica is likely a slurred version of vera icona, Latin for the "true image or icon" of Christ our Lord.