The person responsible for making sure all information is accurate is not the editor. Authors are historically responsible for making sure their work is fact-checked. Fact-checking is a service that can be provided alone, or in conjunction with copyediting. (The proofreading stage is too late for fact-checking).
Fact-checking can include the following:
Double checking the distances between two points in a story.
Checking that specialized names, titles, and locations are accurate.
Verifying dates and statistics.
Unlike other services offered, sensitivity reading includes a more personal discussion relating to content. Biases can show up in even the most beautiful writing, and can go unseen by the best editors; sensitivity reading requires specialization to catch issues that others may miss.
I can provide sensitivity reading for the following topics:
Feminism and women's experiences.
Mixed race experiences.