The most accurate description of a historiographical process from your options would be: "Review the literature, identify the problem, gather sources, write an account, peer review."
This sequence reflects a typical approach in historiography where a researcher first reviews existing literature to understand the current state of knowledge, identifies a specific problem or question to address, gathers relevant sources, writes an account based on their findings, and then submits their work for peer review to ensure academic rigor and credibility.