Jones was 60.
The announcement said Jones was surrounded by loved ones, including the Dap-Kings, when she died.
Jones began singing in the 1970s but hovered around the edges of the tough-to-crack musical industry.
It wasn't until 2007 when she and the group hit major success with their third album, "100 Days, 100 Nights."
Jones' raw, soulful vocals often earned her comparisons to James Brown.