As far as I know there was no William IV worn at the shoulder as a badge on a ribbon.
In Nathanial's posting, Victoria is wearing her personal version of the Royal Order of Victoria and Albert and the Crown of India, I believe.
--Previous Message-- : Is Victoria wearing the William IV order, in : both this painting and the one posted by : Nathaniel below? She was 11 years old when : George IV died, and I wonder whether she was : also given his order. If so, she apparently : did not wear it. :