Naming an art series is just the same as naming an individual artwork. There is no tried-and-true method for naming either of them.
Oftentimes, it’s a good idea to choose a title that helps the audience understand the meaning behind the artwork. The title can be an extension of the visual story you want to tell, so the audience knows how to interpret the piece.
When it comes to naming a series, you can either choose names that reflect the relation between the pieces, or pick titles that are completely unrelated. There is no good or bad way of naming an art series.
If you want the name to show that all of the pieces in a series are connected, you have several options. First of all, you can go for the ‘classical’ naming method using numbers (1, 2, 3 or Roman I, II, III) like I did for my Glasshouse series.
Then, you can select names that have some word or part of a word in common. For example, I called the first piece of a series of mine Space Captain and the second piece Space Junkie.
Examples of using the same part of a word in the title are Dearstand and Dearhunt that I showed you above, or Teatime and Pastime.