S.C. Code Ann. § 33-31-1506
(c) A foreign corporation may apply to the Secretary of State for authorization to use in this State the name of another corporation, incorporated or authorized to transact business in this State, that is not distinguishable upon the records of the Secretary of State from the name applied for. The Secretary of State shall authorize use of the name applied for if:
(d) A foreign corporation may use in this State the name, including the fictitious name, of another domestic or foreign business or nonprofit corporation that is used in this State if the other corporation is incorporated or authorized to transact business in this State and the foreign corporation: