>>>That where Star Trek took the name? <<

Not entirely Enterprise is a venerated name in the US and Royal Navies and in commercial sailing. A number of ships have carried that name. Note that when Star Trek was conceived The USS Enterprise CVN 65 was the mightiest and most technologically advanced ship in the world.

# HMS Enterprise, any of fifteen ships of the British Royal Navy (four others did not use the HMS prefix)
# USS Enterprise any of several ships of the United States Navy.
# Enterprise (1776), a ship of the Continental Navy during the American Revolution
Enterprize (1829), Melbourne's tall ship
# ‎Enterprise (1855)‎, a 19th century steamer on the Columbia and Fraser Rivers
# Enterprise (1862), pioneer stern wheeler on the upper Fraser River
# Enterprise, a sailing ship caught in a storm off St. Ives, Cornwall in 1903