Wow, that's quite a shameless example of using an out-of-context info snippet to mislead. Let's look at the actual context of that swearing in, from the very same site from which you lifted the little out-of-context excerpt:
News of President Harding's death reached Vice President Calvin Coolidge at his family's homestead in Plymouth, Vermont in the small hours of the morning on August 3, 1923. By the light of a kerosene lamp, Coolidge took the oath from his father, Colonel John Calvin Coolidge, a farmer, notary public, and justice of the peace. On August 21, Coolidge repeated the ceremony in his suite at the Willard Hotel in Washington.
Sorry you missed my intention.