Your gun is a Quality P.H. --
Quality P.H. Ejector Catalog.jpeg
According to the tables in
The Parker Story, there were 11,107 Quality PH/PHE 12-gauge guns with Twist barrels produced, with 970 having 32-inch barrels. From 1890 to 1899 the Quality PH was the lowest priced hammerless gun Parker Bros. produced. In 1899 the Quality VH was added to the Parker Bros. offerings. About 1920, Parker Bros. began offering the option of Parker Steel barrels on the Quality PH/PHE guns. The first gun with Parker Steel barrels in the surviving records is 192515.