Dave
I've run across a number of plants (species, varieties and forms) with more than one accepted name. I'm not talking about cultivars. I don't remember running across one with three or more but it's certainly not out of the question.
If tried reordering them without success. Display after approval differs from display while editing.
Jay, If 2 or 3 taxon sites accept one species name while another accepts a different species name, I think we need to be able to address that by ordering them.