If you read the material at the Flag for Dorset websíte properly you will find that the name St. Wite's Cross is still in use together with that of the Dorset Cross. Dorset peoiple can fly the one flag and choose between its two names.

Why not a saint's name - St. George, St. Andrew, St. Piran in Cornwell and St. Petroc in Devon, so why not St. Wite in Dorset? See http://dorsetflag.blogspot.com/ and "St. Wite's Cross" at http://dorsetflag.webs.com/rollofhonour.htm