Political philosophy doesn't trump the fact that the Democratic-Republican Party ended in 1824 and the Republican Party was founded in 1854.
Books -- They're not just for chewing on.
PLease tell us that the Congressional Record was lying:
5th Congress (1797-1799)
Majority Party: Federalist (22 seats)
Minority Party: Republican (10 seats)
Other Parties: 0
Total Seats: 32
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6th Congress (1799-1801)
Majority Party: Federalist (22 seats)
Minority Party: Republican (10 seats)
Other Parties: 0
Total Seats: 32
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7th Congress (1801-1803)
Majority Party: Republican (17 seats)
Minority Party: Federalist (15 seats)
Other Parties: 0
Vacant: 2
Total Seats: 34