For many years, soul singer Sharon Jones played wedding gigs while working as a corrections officer. Then, at age 40, came a record deal and a partnership with the Dap-Kings, a band whose resume includes work with such artists as Amy Winehouse and Al Green. On the day that Sharon Jones and the Dap-Kings release their fourth album, “I Learned the Hard Way,” they join Soundcheck for a live...

For many years, soul singer Sharon Jones played wedding gigs while working as a corrections officer. Then, at age 40, came a record deal and a partnership with the Dap-Kings, a band whose resume includes work with such artists as Amy Winehouse and Al Green. On the day that Sharon Jones and the Dap-Kings release their fourth album, “I Learned the Hard Way,” they join Soundcheck for a live...