Consider "family naming patterns" during research? Grandmother Lucy's (for example) name might be shared with descendants for several generations. It's not scientific but helps when resolving difficult searches. Favored relatives' names are handed-down to "new" generations. Quite possibly, Clarence's daughter (Paulina) may have been named for his cousin (Pauline Vick), daughter of Richard Vick/Sarah Simon? Sophia/Sophy/Sofia Clark was in her mid-50s in 1900 so I attempted to proved her connection to Alice and Sarah. Most of my research involves Texas' Counties so I had to refer to a South Carolina map for plausibility. Clarendon County is in the general vicinity of Darlington and that "passes one of my litmus tests". Find Richard "Vinck" in 1900 Clarendon-Manning-District 7-Image 7. You can submit the request to correct surname to Vick. Next, 1910 Clarendon-Manning-District 95-Image 11 for widowed Sarah Vick. Sophia Clark found 1910 Clarendon-Manning-District 94-Image 3. Then, 1920 Clarendon-Manning-District 111-Image 28 where Sofia lived with her daughter and great granddaughter.