The Old Calendar (Julian Calendar) has his birth on January 7.
The Julian Calendar predates the Gregorian Calendar (from the 16th century, when Pope Gregory XIII instituted the New Calendar). The Gregorian Calendar set the Nativity at December 25. The thirteen-day change was to align the Old Calendar with the civil calendar; purely administrative and scientific purposes.
There was a battle over the calendar between Roman and Eastern Catholic. The Gregorian calendar became a frontline of battle to make the Orthodox submit to the RCC.
Here is a very good background to understand the history and the science behind the change:
http://www.copticchurch.net/topics/coptic_calendar/nativitydate.html
Since then, the two calendars have continued to diverge. The difference is now up to 13 days, and will go to 14 days in 2100.