Uranus was not coined to name the planet, it is the name of the Greek god of the sky, the father of all titans and grand father to the major gods of Greek mythology.
At the time of the discovery of Uranus most educated people in the west would have studied the Greek language, culture, and mythology as a core component of their education. So the folks in the west who would have been most involved with the study of Uranus the planet would have had a long history of reading about Uranus in literature. It would simply not have seemed unusual.
That tradition of study of greek and roman material is precisely why the moons, asteroids, and planets discovered in the 19th century, largely by European astronomers, are named after greek and roman gods and figures (Ceres, Vesta, Neptune, Ganymede, etc.)