I do not know of any way to select a color by swatch group and swatch color name so I do not think it would be possible to rename the fill layer's name to swatch group and color even wit a Photoshop script. Name need not be unique and swatch and group can be renamed, Name may not be a good identifier in the first place. You may want the user the color hex value to identify the color. You most likely can retrieve the current color. However, A Fill layers color can be changed easly without changing the layer name.