The open question here is whether or not he collaborated with William Robb and Arthur Wolff. And, I am still making the assumption that the lab he built was for x-ray research.
The sources on Green all indicate that the link between his work with incandescent lamps and his research on x-rays was critical: his work with lamps gave him access to glassblowers and vacuum pumps that were needed to develop his own vacuum tube to generate x-rays. The record is otherwise silent on this link, but it is notable that the first report of Green using x-rays to assist a doctor took place at the Aetna Electric Company.
For all of the credit Green is given for manufacturing and improving x-ray tubes, there’s a very suspicious gap in the record before the first patent application for an x-ray tube in 1908. All that I can say for now is that Green & Bauer was “still manufacturing” x-ray tubes in 1904.
The Courant says that the first x-ray photograph taken in Connecticut was of Robert Magonigal’s leg – I didn’t include it because I haven’t confirmed it directly in a contemporary account. It would seem not to be Theodore Studley: despite George Bell’s claim, the effort to find the bullet in Studley’s leg failed.
This one is a bit more complicated – short of looking up classified ads, I’m not sure how I could determine whether Hartford doctors were using x-rays in their practices.