There are actually three parts to the story of names in Zotero (“creators”, in techie lingo):
Each of these topics is covered below. The first two are very simple.
Each name field has a label to its left, which is actually a button. Clicking on it will open a list of possible *creator types* for the current item type. You can change the type of an individual creator by clicking on its label and selecting from the list.
There is a small square icon to the right of each name (just before the (+) and (-) buttons used to add and remove creators). Clicking on the square icon will toggle the name between single-field mode and two-field mode.
In two-field mode only, personal names are parsed into five separate parts for formatting purposes. Here they are, with a brief explanation of each: