Yeah, Oglethorpe University does provide scholarships based on merit. Here are some of them:

Civic Engagement scholarships
Total Worth: Full Tuition
Eligibility: Full Tuition
Minimum Criteria: For service

James Edward Oglethorpe scholarship
Total Worth: Full Tuition
Eligibility: Full Tuition
Minimum Criteria: For leadership and academic excellence

Lanier, University and Presidential awards
Total Worth: $17,000 – $22,000 per year
Eligibility: $17,000 – $22,000 per year

Oglethorpe University provides aids at an average of 33750 per student meeting 79% of students need. 100% of students with need receive financial aid at an average of 29648 need-based grant.