Yes, marriage is generally permitted in Georgia state prisons, including Rogers State Prison, but it is not as simple as filing a license and showing up. There is a process, and the facility has significant control over how and whether it happens.
The starting point is the warden. Your fiancé needs to submit a formal request to the warden asking for permission to marry. That request will be reviewed and can be approved or denied based on some factors, including institutional behavior, security classification, and whether the marriage is deemed to present any safety or security concerns. A clean disciplinary record helps considerably here.
Once permission is granted, the ceremony itself is typically brief and no-frills. It usually takes place within the facility, often in the visitation area, with a chaplain or an approved outside officiant presiding. Guest lists are extremely limited, sometimes just the immediate parties and required witnesses. There is no reception, no celebration beyond the ceremony itself.
On the outside, you will need to obtain a marriage license from the county clerk in Tattnall County, where Reidsville is located, before the ceremony can take place. The license requirements are the same as any other Georgia marriage.
The practical first step is for your fiancé to speak with their case manager or the facility chaplain. The chaplain in particular is usually the most helpful point of contact for navigating the approval process and understanding what the facility specifically requires. Timelines vary, so starting the request early is worth doing.