Joe, yours is in DT, at least in my downloaded Apr. 1997 version as "Rosin, the Beau".
I haven't relocated my referrence to the 1838 copy yet. Sigmund Spaeth, 'Read 'em and Weep', p. 40, gives a version of "Rosin the Beau" commencing "I live for the good of the country", with the tune. He mentions 4 political songs from 1840 to 1875 to the tune, and gives 3 of them.