MYTH.
In the centre of the Spanish town of Trujillo there stands a large bronze statue of Francisco Pizarro, its most famous son. Pizarro was the leader of the expedition which conquered the Incas and annexed Peru to the Spanish crown but he was only the first of the conquistadors to come from there. His brothers, and Orellana, and Alarcon, all were Trujillo men.
The odd thing about the statue is that it isn't of Pizarro at all. Cast by the American sculptor Charles Rumsey as a statue of Cortes, it was offered to Mexico, who declined it, Cortes not being one of their happier memories. With no other obvious home, it came to Trujillo where it was adopted as a statue of Pizarro instead so, assuming that the sculptor did his research properly, we end up with an effigy of Cortes as Pizarro in much the same way as a theatrical statue might be of a great actor playing Othello.
It isn't the only famous statue to depict the wrong man. In 2001, Winchester cathedral admitted that the statue, which had stood for 37 years to commemorate the work of local hero William Walker, who spent six years working by touch in diving gear to underpin the foundations of the building, was in fact an image of Francis Fox, the consulting engineer to the project. Apparently the sculptor had picked the wrong face out of a photograph. The sculpture has now been replaced, but for a long time the public have gazed on what they thought was one man and seen another.
In classical statuary this must happen often. The archaeologist works with a pile of trunks, limbs and heads with no numbering system to guide him as he tries to fit them together. It must be hard enough to get the body parts to match, let alone to correctly identify the subject. Still, he wouldn't be human if he didn't have a go so "probably Caesar" or "probably Augustus" will appear as the initial attribution. Give it a few years and any resemblance and the "probably" bit will gradually drop. How many museums own a statue of Augustus which is really just a statue of someone who happened to look like him with the left arm of a centaur?