I have a house that was built 1904. The mullions, etc., were secured with brass woodscrews through brass housings than are much like grommets in appearance. I do not know what they are called. I need some, as the previous owner started several projects and promptly lost the 'grommets'.
is what you want. The place I used to get these seems to have gone bye-bye. This is traditional (circa 1910) hardware for doors. If you google for 'brass screw decorative washers' you can find suppliers.