Reconstructing a method's change history efficiently and accurately is critical for many software engineering tasks, including maintenance, refactoring, and comprehension. Despite the availability of method history generation tools such as CodeShovel and CodeTracker, existing evaluations of their effectiveness are limited by inaccuracies in the ground truth oracles used. In this study, we systematically construct two new oracles -- the corrected CodeShovel oracle and a newly developed HistoryFinder oracle -- by combining automated analysis with expert-guided manual validation. We also introduce HistoryFinder, a new method history generation tool designed to improve not only the accuracy and completeness of method change histories but also to offer competitive runtime performance. Through extensive evaluation across 400 methods from 40 open-source repositories, we show that HistoryFinder consistently outperforms CodeShovel, CodeTracker, IntelliJ, and Git-based baselines in terms of precision, recall, and F1 score. Moreover, HistoryFinder achieves competitive runtime performance, offering the lowest mean and median execution times among all the research-based tools. While Git-based tools exhibit the fastest runtimes, this efficiency comes at the cost of significantly lower precision and recall -- leaving HistoryFinder as the best overall choice when both accuracy and efficiency are important. To facilitate adoption, we provide a web interface, CLI, and Java library for flexible usage.