Okay,
As mentioned by other posters to this thread, "chrome" had become a synonym for "color" because many colorful pigments were chromium compounds.
Since EK had created a color motion-picture technology they had already named "Kodacolor" when their iconic non-substantive color reversal film hit the market, the latter was named "Kodachrome". Later they would introduce a color negative film, and, with the old Kodacolor movie system long-abandoned, they "recycled" the Kodacolor trademark for its new color-negative still camera film.
I'm thinking that at this point, "color" and "chrome" were still interchangeable. Agfacolor Neu, Ansco Color, and Dynacolor were all films that yielded a positive image on the original film that had been in the camera.
As Kodacolor film became popular, and as EK had come to so dominate the market, their competitors were more or less "forced" to the model of -chrome for reversal films and -color for negative films, as the 400-pound yellow gorilla did.
Now, I'm hoping people out there are asking "What about Verichrome and Plenachrome?". Well, the earliest silver halide-based photographic films were sensitive almost exclusively to blue light. To get good exposure of anything in the scene that was not blue (i.e., anything alive, save blueberries and bluebonnets), one needed to overexpose to compensate, essentially forcing the negative to show some response to the light that was not blue (note that all U.S. Civil War photos shot with silver have skies that are stark white).
When orthochromatic film (good sensitivity to green, and a little sensitivity to red) was introduced, Verichrome and Plenachrome (for young readers - these were black-and-white films) indicated that the films were sensitive to colors other than blue. The older films (blue-sensitive) were briefly referred to as "regular", but were soon forgotten, at least for snapshooters.
Of course, orthochromatic films would give way to panchromatic films (sensitive to the entire visible spectrum), and Verichriome was replaced with Verichrome Pan in 1956 (Sears continued to sell Tower Ortho to snapshooters, insanely cheap, whilst introducing a more expensive Pan on its own label, for a few more years).
Note that to produce an acceptable color image, any general-purpose color film, by definition, had to be panchromatic.