In Richard H. Thornton’s An American Glossary, it gives the definition as "To row a man up Salt River is to beat him or make him otherwise uncomfortable.
This is in contrast to the political nature of the cartoons of Salt River, where the catchphrase "signifies a contest that does not depend on strength, bravery, perseverance, and intelligence but rather on sheer fortune.
"[9] This gives a Salt River cartoon its open-ended characteristic, leaving audiences with questions about what would happen to a party and its candidates if they came to political defeat.
Often used at the time were political references to Salt River through transitory printed pieces such as mock news papers and flyers, known as broadside type ephemera.
Vain Attempts to get in the Mayor’s Office—The Democracy and the Politics—What happened to the Democratic Kite Flyers—A Steamboat Collis-ion—The Old Canal Boat Knocked into Fragments—Rescue by the Broken-Backed Citizens—Off for Salt River—Rally Round the Flag.
Ephemera showed the hardships of the election campaigns of candidates, vividly depicting just how high the stakes were where political defeat seemed extremely dire.
the use of Salt River catchphrases in ephemera generally regarded the area of social policy in government, including: slavery, suffrage, corruption and secession.