Levon Helm of The Band found an unlikely path back to fame after decades of disappointment. But by the end, the homespun singer from Turkey Scratch, Ark., had come full circle. In the eight years preceding his death Thursday, Levon Helm enjoyed the highest distinction that any music veteran could hope for: an audience that remembers. Two recent Grammy awards had brought a resurgence of interest in Mr. Helm’s career as the voice and drummer of The Band, one of rock’s most enduring groups. But it was only in 2004, when he began his homespun “Midnight Ramble” concerts, that he...