The saints living near Morristown were in Bybee, Tennessee. Although not yet organized as a branch, the group consisted mostly of the families three adult children of Anna Eliza Inman Talley. They had been joining the Church in 1905 and included Anna before she passed away in 1909. One more of her children would join the church later in 1917.
Oakwood was a suburb just north of Knoxville, now entirely subsumed by the city.
Sarah is about 50 miles south of Memphis. Columbia has long been a center of LDS preaching, though it would be many years before there would even be a branch located there. Most of the members in the area lived well outside the city. Today there are two wards.
I would like to identify who the grandfather "personally acquainted with the Prophet Joseph Smith" might be. There were a few Tennesseans who could fit the bill. But with so little to go on I am not very optimistic. My best option is to track down Elder Rudd's journal. (Elder Wilson's journal ends just over a year before this event).