Click on one of the small artifacts to the left.
A new page will come up displaying the selected artifacts as well as the community medallions. Hover over the medallions to study each medallion. Match the artifact with the community medallion by clicking on the matching small medallion. A window will pop up telling you if you chose the correct answer.
Hint 1: The matching medallion will contain the item that is displayed on the artifact.
Hint 2: William Gooding has two artifacts Joseph Foster has none.