I do not know if this is the same family or not. There are some coincidences. My oldest know ancestor is James Logan Primm from Jerico, TN. He married Henrietta Sorrells Primm. He had three children. They were Greene, William D., and Thomas Logan Primm. William D. was a doctor. Thomas Logan Primm married Loretta Hill Foster. They had four children. My grandmother was one of these children. Her name was Mary Ida. She had a sister Elsie, and brothers Charlie and Logan. Great grandfather Thomas Logan Primm remarried and had many more children. He died in 1930 , in Little Rock, Arkansas. He was buried at Oak Grove cemetary in Conway County, AK. My family history has Greene Primm and William Primm as living in Arkansas. Some of the names sound the same. I hope this helps.
Glenda Glazebrook-Beardmore