Topical at the moment, sort of.
The Bayeux Tapestry is the oldest surviving bit of false news. The tapestry as we know it shows the figure under the name Harold with an arrow in the eye.
A 18th century drawing taken from an engraving of the relevant scene of unknown date shows the figure not with an arrow in the eye but holding a spear.
The leading academic authority on the tapestry, Lucien Musset, states that the original has needle holes where the shaft of the spear has been removed. The reason is only speculation but a middle ages punishment for a perjuror was a weapon in the eye so it is probable that the original was altered at some point to an arrow to back up the Norman claim that Harold had committed perjury by swearing on holy relics his support for Williams claim to the English throne in 1064.
False news over 900 years ago so not a new thing.