I can show you how we do it in the rose database, Monica.
In this case, 'English Sonnet' is the exhibition name of the rose, HARverag is the registration name, and the other four names are used by various sources for this cultivar (I bought it as 'Samaritan'). The search engine will find any one of these names, but the rose is filed under "E" because of its exhibition name.
Rose (Rosa 'English Sonnet')
