How would I fix the errors? I know Wikipedia is lying to me. I can delete the information, which is pretty likely to get reverted. But I can't replace it with correct information; I have no idea when the idea of bread fried in eggs is first documented, and I have no idea whether or not the stock character of Chen Shimei is based on a historical person. For all I know Wikipedia is lying about the publication date of the story they cite. It's more likely they're lying about the character being based on a historical person, or the time when that person lived, but I can't tell, because there's no reference to anything I could look up.
You can add a "not in citation" or "dubious" tag to the reference that's there, or another cleanup tag: https://en.wikipedia.org/wiki/Wikipedia:Template_index/Clean.... A lot of Wikipedia articles are waiting for someone with the right references to come along (or for the right reference to come into existence), and until then the best anyone can do is insert warnings that the article is poorly cited.