thomastonk: The game here looks like the one in Chessbase's Megadatabase. But according to "Wiener Schachzeitung" 1855, p 128, the correct move order in the opening was 4.. ♗c5 5.d3 c6 6.♗c4.
And where does the year 1849 come from? I would expect 1855. Falkbeer refers in his comments to J Schulten vs Horwitz, 1846, and mentions that it has been played several years ago. So, if this game would have been played in 1849, I think he would have mentioned it, too.
Moreover, on the pages 131 and 132 of "Wiener Schachzeitung", there are two further games between both players, and the Megadatabase assigns 1855 to both of them.
"Schachzeitung" 1850, p 283 reports that Hamppe and Falkbeer had played about 30 games in the last months, and also points to its own article at the beginning of that volume. The Google books copy is incomplete, and begins at page 225. However, the name index and the opening overview do not indicate that this game is published there.