There is a marriage record for a Robertson Loyd marrying a Phoebe Phillips that is worth checking further. I can't find a birth record for Charles listing his parents, but this is a lead worth considering:
Robertson Loyd & Phoebe Phillips
Marriage date: 30 Dec 1807 Marriage place: Greene, Tennessee
Original data - Tennessee State Marriages, 1780-2002. Nashville, TN, USA: Tennessee State Library and Archives. Microfilm.Original data: Tennessee State Marriages, 1780-2002. Nashv