Probably not – there what I’ve found so far, and I don’t believe that I have found them all. In particular, there’s a suspicious gap between 1896 and 1908 during which I’ve found no patents, and this gap corresponds to the period during which Green was moving manufacturing lamps to manufacturing x-ray devices.
Yes: I haven’t found a patent that I can connect to the device Green & Bauer sold to Hartford Hospital in November 1896.