My family is definitely all for naming our fish, and all of them have had names even if we don't remember them. We had 3 oscars named Oscar, Red, and Whitey (they were tiger oscar, red oscar, and an albino, respectively). Also had tinfoil barbs names silver and tin, and a pleco whose name I forget. We also had a water dog / mud puppy but I don't remember his name either. A Managuense named Chubby because he ate EVERYTHING, and a fire-belly newt named Lucky.
I've also had 3 bettas over the years. The two that died a few years ago were named Lil' Red and Henrietta. My current betta is named La Petite but goes by Pete for short.