Often cultivated plants have been given different names than their wild progenitors. One of the big problems is deciding what are the wild progenitors of cultivated plants. The species name has two parts. The generic or genus name and the specific epithet. This system goes back to Linnaeus.
Every plant has only one correct name.
The names are Latin and should be underlined or italicized when written. Problems with common names. Genus is a collection of related species. The family is a group of related genera. These are the units most botanists use to organize taxonomic relationships.