Normally you are more accurate in the bits of history you want to relate.
You apparently have fallen for the old claim that Jefferson founded the Democrat party.
This is completely wrong.
Jefferson's party was the Democratic-Republican party."
Naw, Jefferson called himself a small-r republican, but his Federalist opponents called his political party Democratic-Republicans, because Jefferson supported the "democratic" French Revolution -- "democratic" then referring to the French guillotines and the blood of tyrants.
And Jeffersonians liked it so much, they kept the name "Democratics" and dropped "Republicans".
Within a few years they also referred to themselves as "The Democracy".
Nearly all the people who later became Jacksonian Democratics had earlier been Jeffersonian Democratics.
Yes, Jefferson's name "Republican" did survive his Democratic party, even in Jefferson's lifetime.
Virginia Congressman and Senator John Randolf called his faction of anti-Jeffersonians the "Old Republicans", meaning they still supported Strict Construction of the Constitution, long after President Jefferson himself had left Strict Construction to become a typical Democratic Party expansionist of Federal powers.