There are in fact two versions of Steamboat Bill recorded by Edward Meeker in the cylinders at The Cylinder Preservation And Digitization Project. Both were recorded in 1911.

Number 2 in the list (10513: Edison Standard Record) is virtually identical to the sheet music listed above (Steamboat Bill 2), differing in only a couple of words. (Incidentally the transcription should read: Try to beat the record...).

Number 1 in the list (728: Edison Amberol) is the version Sandy linked above and is (again virtually) identical to the sheet music version given above, but with the 2 verses and chorus inserted after the first chorus of the sheet music.

I've looked at several copies of the sheet music online and they all omit this new addition, so I don't know where they came from (yet!)

Mick