September 3 - 13 did not exist in 1752 for England and her colonies, including Georgia. The day following September 2, 1752 was September 14. This was done to correct a minor error in the Julian Calendar that left untended would eventually shift the calendar in relation to the seasons.
Proposed by an Italian physician, Aloysius Lilius, and perfected by Christoph Clavius, the Gregorian Calendar (from Pope Gregory) was adopted by Italy, Spain, and Portugal in February, 1582 by a Papal Bull. Catholic German States changed from the Julian to Gregorian calendar in 1583. Lutherans in Germany did not adopt the new calendar until 1699. Other states took longer: England, who adopted the calendar in 1752; Sweden, 1753; Japan, 1873; China, 1912; and Greece, 1923.
The Julian calendar, which had been introduced 45 years before Christ, was a refinement of earlier Roman calendars. Interestingly, the Gregorian Calendar does have a flaw, but this only accounts for one day every 4000 years.