This is a 2-door roadster body. In 1928, the roadster body was built by Biddle & Smart. The sedans and coupe bodies were essentially all metal. The roadster body is sheet metal over a partial wood frame. If you have the drivers door, there should be a number stamped into the wood member that forms the top of the door. This is the Biddle & Smart "serial number". There is a body parts catalog for this car on the HETclub website.
There can be some confusion about model year and serial numbers for 1928. The original model year for 1928 was from June 14, 1927 to June 4, 1928. Your car serial number 906077 was produced between June 5, 1928 and January 1, 1929, and when produced, was considered to be a 1929. Shortly after 1928, Hudson aligned the model years with the calendar year and considered cars produced during the June 5, 1928 to January 1, 1929 period to be 1928 models. Consequently, the 1928 models were produced for a total of 18 months. Your car is a 1928 model.
The windshield frame appears to have been modified. The red "blocks" at the bottom of the windshield posts below the pivot point appear to have been added to raise the windshield. Remove the blocks and the pivot points should fit down into the brass casting on the cowl with no significant gap between the bottom of the frame and the brass casting on the cowl.
There are not many 1928 Essex roadsters. I am aware of only three of these cars.