Contemporary with the fitting The jar is as far as I can see contemporary with the lamp fitting. The jar is made in the style of a late Ming type of jars, indeed called fahua , about which there is still some arguing about their age. You can find several examples of fahua jars and vases illustrated in old books on Chinese porcelain, all invariably attributed to the late Ming. I don't think you should settle for my opinion, but ask around. This information is given as an example of private conversation only and is not intended to be used as a promotion of any individual piece.
All opinions is the authors and is given as such with all hazards of judging anything from a photo.