To find your model number look on the wick turn knob.
Model 23 was produced as two different versions (Lox-On or Heelless):
(check out the photos below to see the two different galleries, Lox-On or Heelless.)
The Heelless version of the model 23 uses the heelless chimney (R910-2 original) and NEW R910-500 which slips into a crown looking gallery having about 15 little fingers of metal to hold it in place.
OR
The Lox-On version of the Model 23 lamps uses the Lox-on R103 chimney which twists into the metal gallery. (the R103 chimney has 3 little glass tabs that twist under the little metal tabs in the gallery)
Heelless (for R910-2 & R910-500 Chimney)
Lox-On (for the R103 Chimney)