Here is a bit more information. I looked in some older books to find various wines that have been called XXXX Riesling. Some of these names may no longer be allowed in some countries, as wine laws change over the years.
Riesling(true): Has been called White Riesling and Johannisberg Riesling in California and elsewhere.
Riesling-Want-To-Be:
Gray Riesling - A white California grape that is a descendant of French Chauche Gris. At one time this was common and cheap, and perhaps some felt a need to add White or Johannisberg to Riesling when they were selling the real thing.
Italian Riesling aka Laski Rizling aka Welschriesling. This grape is grown in many countries. Wine produced from it can be decent, but is in general far inferior to the best true Riesling.
Riesling de Caldas - The Dachese grape grown in Brazil.
With enough time, one probably could find several other names used with Riesling.
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