Since the Jin Hou Su chime-bells from the cemetery of the Jin lords at Tianma-Qucun, Shanxi, became known to the scholarly world, the problem of the dates contained in its inscription has attracted the attention of scholars both in and outside of China. In this article we discuss two aspects of this problem. First, while the “thirty-third year” date of the inscription must certainly refer to King Xuan's reign, which is to say 795 B.C., the four full date notations of the inscription are incompatible with this year, but are instead compatible with the following year, 794 B.C. This article suggests two ways to reconcile this discrepancy. Second, while there can be no doubt that Jin Hou Su is Jin Xian Hou, the “Jin shijia” chapter of the Shi ji gives his dates of reign as 822 to 812 B.C., which is in turn incompatible with either 795 or 794 B.C. However, in the Shi ji's genealogy of Jin lords, the son of Xian Hou is Mu Hou and the grandson of Mu Hou is Zhao Hou, which contradicts the zhao-mu structure of the Zhou ancestral system. Therefore, we propose that the Shiji has reversed the order of Xian Hou and Mu Hou, such that Xian Hou's reign actually extended from King Xuan's thirty-third year through his forty-third year (795-785 B.C.). Not only does this simple change in the genealogy of the Jin lords resolve the problem of the dates in the Jin Hou Su bells inscription, but it also serves to explain an entire array of problems in the chronology of early China.