Thanks Photmc and Cole. It's easy to think that a black and white photograph is composed of silver halides that make up the image, but that's not necessarily the case. A hand colored "traditional" photograph is putting paints (usually transparent) over the "silver" image.
In bromoil, oil based pigments replace, by brush application, the silver in a bleached and tannned print. Thus the image is composed of pigments, be they black, brown or multi colored pigments. I often "process" a bromoil print by brush applying multi colors of lithographic inks. The silver has been bleached away in the darkroom and these greasy pigmented inks bring up the image. Further applying additional colors of pigments after the inks dry, by hand coloring, applying water colors, coffee or what have you, does not, in my opinion, cause the image to cease being a "photograph." Some subscribe to the school that one should, to the extent possible, faithfully follow what is in the negative. I long ago unsubscribed from this school! :>)
Bromoil is a "control process." Hand coloring simply adds to the controls the process makes available.
By the way, a number of other processes of yesteryear use pigments in lieu of silver - like gum bichromate, carbon, fresson, autochrome, etc. etc.