If you are a backyard gardener, your introduction to plant names probably came from plant labels, seed packets, maybe some plant catalogs or books and probably several casual conversations.
Those names that you learned were invariably what are called common names. The alternate, more specific name, is often referred to as the "scientific name," the "Latin name" or the "botanical name."
Regardless of how awkward botanical names appear at first, this is a plant's only real name. Common names are akin to nicknames. They're fine for casual conversation, but often unclear, regionally different and frequently changing.
In the past couple of decades, a plethora of plant marketing has clouded the usage of common names even more, to almost unrecognizable levels.
One plant company calls something a "Torch Daisy," while another calls it a "Sun Spot Daisy," a third call is a "Flame Daisy." Which one is correct? They all are.