Tammany Hall was the name given to a democratic political machine in New York City which helped the city's poor and immigrants population. Tammany Hall was lead by William Magear Teed, also known as Boss Tweed, an American politician who was press charges for corruption in 1877.
Knowing this information the correct exclamation for the sentence above would be "Tammany Hall and Boss Tweed were powerful players in a Democratic party".