Pennant Baseball Bat "Rogers Hornsby Model"

Hi! I have been having terrible luck tracking down information for an
old baseball bat that I have acquired. Any help that you can provide
would be GREATLY appreciated. I believe the bat is from the 1920's.
In the center of the bat, there are the words "Pennant" in large
letters...above that, there are the words "No 305"...below the word
"Pennant" it says "Trademark". On the end of the barrel, it says
"Leaguer" in a large font...below that it says "Rogers Hornsby Model"
in a smaller font.

Thank you kindly in advance.