Vermillion Family Genealogy Forum
If your Talitha Vermillion was the sister of S. Harry Vermillion and J.H. Vermillion (both of whom lived in Texas after fighting for the Confederacy in the Civil War), then I have some very vague, but possibly helpful information which may get you started. Contact me by e-mail, as I can provide some info about her siblings and spouse's names.
As for Daniel J. Vermillion, I have nothing which is obvious -- all I have is a Daniel Vermillion (b. 1841, Hardin Co., OH) the son of Daniel Shumate Vermillion and Priscilla Hissey Vermillion. Daniel was married to a Mary Harvey, which does not fit with your D.J.V.
Let me know if I can help.