Yes! this is my family. Vincent was my maternal great grandfather. I never knew Charles had been married twice, but his son Vincent's Social Security gives his mother as Wilhamena WALTERS. Vincent's middle name was Walters. Who was Charles' second wife? Were there any children with her?
I'd be very interested in any information you have. It's interesting to me that "my" Cottams came from Lincolnshire because one of my father's line (Denton) is also from Lincolnshire and came to the US after 1850.