Donald,
That's a good question. I think the DB can be repetitive sometimes as there are sometimes numerous cultivar names for the same plant. You say tomatoe, I say tomato sort of thing.
I believe 'Sticks of Fire' and 'Firesticks' are the same plant, just two different names. Now I've never seen it called 'Rosea,' but with pictures that resemble 'Firesticks, I just assumed it was a third cultivar name for it (I never researched it so I don't know).
Now 'Mahogony,' I have no clue. The generic one is all green and as far as I know, doesn't have a cultivar name. If it does, I'd hope it wouldn't be 'mahogony,' as that doesn't sound very green to me.
Planto