BG sunfish and perch are all a few loosely used names for "panfish". BG is proper for what you have above. There are many species in this family that have similar traits/shapes (Lepomis=genus, Centrarchidae=family), Redear sunfish, Pumpkinseed, orange spotted, Green, longear are a few of the others.. some are known by many names but the BG is likely the most abundant of which there are 2 variations, Northern BG and Coppernose BG. Northern BG survive about anywhere in North america where the coppernose is a southern, or "warmer water" species, but not addressed as a sub specie.