Amanda and Bennie Cochran: one child or two?

All the children of James Abraham Lincoln Cochran and his first wife, Lucinda Daugherty, in the 1900 census could be accounted for except one: Bennie, born about 1988/9 and missing after that year. And one child, Amanda Cochran Brewster, was identified as their daughter but never appeared in any census with them. I wrote this genealogical proof argument after researching the family and concluding that Amanda was misidentified as Bennie in the census and that she is the daughter of Lincoln and Lucinda. Here’s my paper:

Please let me know what you think!