Sometimes “font” is used for a very specific typeface description like “24-point Century Gothic bold italic.”
Just as companies like Chevrolet and Chanel were named after their founders, typefaces are often named after their designers, such as Goudy, Caslon or Lubalin.
Sometimes a typeface is named to honor a person important in type design (Garamond), a place (Memphis) or an event (Renaissance). The Inland Type Foundry named typefaces such as Studley to honor important customers. Robert P. Studley was a printer in St. Louis.
By one standard, both of these Gothic typefaces are also roman. By the other standard, only Waters is roman. They both could be considered grotesque -- or just one could.
[below] There are even websites offering free (i.e., illegal) downloads of genuine Helvetica and other faces.