I think her parents are John Devine Beddingfield and Mary Bayne. In the 1900 Census: Green River, Henderson NC - Pheba and Asia were listed in the household of Furman P. Pace as cousins. I can only assume they are brother and sister but no proof.
In my records John "Acey" Bedingfield is listed as son of John Devine Beddingfield and Mary Bayne. Acey died in Greenwood, SC in Jul 1971. I do not have access to his obit or death certificate but they would probably help. Until then all this is only speculation.