You'll find the origin of Tanagra at
http://en.wikipedia.org/wiki/Tanagra and that of Antonia at
http://en.wikipedia.org/wiki/Antonia. Bledman appears to be a West Indian variant of Blythman of which you'll find a number of others at
http://www.blytmann.com/blythman.htm. Blythman is a combination of blithe 'happy, cheerful' + man.