One free site to give you some items about your T. W. Current: http://texashistory.unt.edu/http://texashistory.unt.edu/ You will find several articles about the Current family in the Aspermont newspaper archives, including an obit for GEORGE WILLIAM JORDAN, whose daughter was married to T. W. Current. There are other postings on Current genforum and Current rootsweb message boards. The Aspermont newspaper also has items on the Christesson/Christesen family who are connected with this Current line.
Besides the Aspermont paper, the Breckenridge newspaper archive at this site will give you more items about the same Current and Christesson lines.
There are paid subscriptions sites like ancestry.com that has the census records, etc.