I haven't yet named my machines. However, they are refered to the same way as people refer to their cars & trucks: '38 Cincinnati MH2 Milling machine, '68 Craftsman radial arm saw, etc.
My motorcycles are named after movie horses:
'03 Honda Nighthawk 750; Little Brother (from the movie Hidalgo)
'93 Kawasaki Voyager ZG1200: Trigger 12 (Roy Roger's horse + the engine reference)
Happy trails.