After the first Tennessee base ball convention in Chattanooga in May, 1867, the second was held in Memphis in September of that year. This account is from the Memphis Public Ledger on September 13. http://chroniclingamerica.loc.gov/lccn/sn85033673/1867-09-13/ed-1/seq-3/
“Base Ball Convention.– Yesterday during the session of the Base Ball Convention the following gentlemen were elected officers for the ensuing year: President, J.C. Luttrell, of Knoxville; First Vice President, Mr. H. F. Cooper, of the Enterprise Club, Memphis; Second Vice President, Mr. John McGrainger, of the Bluff City Club, Memphis; Recording Secretary, Mr. E. W. Moore, of the Pride of the South Club, Memphis; Corresponding Secretary, Mr. C. C. Seigfried, of the Lookout Club, Chattanooga; Treasurer, Mr. B. M. Brown, of the Mountain City Club, Chattanooga. The next State Convention will be held at Knoxville on the second Wednesday in September, 1868.”
Note that, like the first convention in Chattanooga, no Nashville teams were represented in Memphis. I don’t know why that might be.
Also, I don’t have any information about a September 1868 convention, but if I find it, I’ll add it.