Final answer:
The Old Minnehaha County Jail's operational years are not specified by the 1930s photograph of an old slave quarter in Bethesda, MD. Accurate information would need to be sourced from historical records or local archives.
Step-by-step explanation:
The Old Minnehaha County Jail does not appear directly linked to the 1930s photograph of an old slave quarter on Wisconsin Avenue & State Route 193, Bethesda, Montgomery County, MD, mentioned in the question. Therefore, no specific information about the operational years of the Old Minnehaha County Jail can be derived from this particular reference. It would require further historical research and verification from reliable sources to determine the years during which the Old Minnehaha County Jail served as a jail. Historical records, local archives, or heritage societies would likely hold such information and should be consulted to gain an accurate understanding of the history and operating period of the Old Minnehaha County Jail.