She is the second-oldest person in the world according to the Gerontology Research Group, which keeps a list of the world's longest-living people.
Ms Talley, who still gets around on her own with a walking frame, has credited her longevity to her faith.
Ms Talley, a widow, whose husband Alfred died in 1988, is cared for by a 76-year-old daughter who lives with her.
On Sunday Ms Talley and her extensive family and friends celebrated at a local church.
According to the Gerontology Research Group, Japanese Misao Okawa, 116, is the world's oldest person.
Talking of her long life, Ms Talley told the Detroit Free Press: "It's all in the good Lord's hands. There's nothing I can do about it."