Not the finest quality photographs but cracking images none-the-less. I'm guessing the chap pictured goes by the name of Stanley going by what is written on the first image. I'm not sure of the exact year of the bike but 1912 is a good guess. The Speed model was, obviously enough, the sporting machine in the Bradbury range. Key differences from a standard non-sports model are the lack of pedalling gears, drop bars and shorter wheelbase. Many other manufacturers called their sporting mounts 'TT' models.
Stanley certainly looks like he means business, those bars are dropped even further down than a standard Speed model and the straight through exhaust is not standard either - the original terminated in a small cylindrical silencer in front of the engine. Note two interesting Bradbury features - the first and easiest to see is the cutaway in the petrol tank above the spark plug that allowed the tank to sit lower and gave an overall sleeker profile. The second and harder to see is that the crankcase forms a part of the frame - ie the case is cast around the saddle and main tubes. The crankcase is in steel and there is a large aluminium plate on the offside that houses the timing gears, etc.