It’s a name that was created for that storyline. Palpatine, much like the term Sith, was used for the OT and its marketing materials. Sidious was treated as his truer name, with Palpatine being more of the disguise.
Not to get too technical, but the name Palpatine was actually first used in the 90’s EU.
No, it was first used in the prologue of the 1976 novelization of Star Wars. So technically the name Palpatine predates any of the films, even if it wasn’t used in a film until 1999.
Aided and abetted by restless, power-hungry individuals within the government, and the massive organs of commerce, the ambitious Senator Palpatine caused himself to be elected President of the Republic. He promised to reunite the disaffected among the people and to restore the remembered glory of the Republic. Once secure in office he declared himself Emperor, shutting himself away from the populace. Soon he was controlled by the very assistants and boot-lickers he had appointed to high office, and the cries of the people for justice did not reach his ears (George Lucas [Alan Dean Foster], Star Wars: From the Adventures of Luke Skywalker (paperback; New York: Del Rey, 1976), p. 1, ISBN 0-345-26079-1.)