Most of the court records that we are interested in will be from the probate court (every county in Georgia has one).  The probate courts generally handle marriage licenses, wills, estates, trusts, guardianships and other records that involve genealogy.  Adoptions are in the purview of the superior courts of Georgia (every county has one).  The superior courts have jurisdiction over adoptions and real property issues (deed records are usually superior court records).  The superior courts also can hear probate matters and even appeals of probate matters, but most of the records of interest will be the probate court records.