Talty
Talty is a surname found in County Clare, Ireland. It is an Anglicized form of the Gaelic "Ó Tailtigh" ‘descendant of Tailteach’. Other surnames with the same origin are Tully, Tally, MacTully, MacAtilla, Flood and possibly Floyd. The Ó Tailtigh family were physicians to the O'Conors, Kings of Connacht and also to the O'Reillys of Breffny in County Cavan.

References
Talty in GoIreland  Archived 10 June 2011 at the Wayback Machine
Irish Families, Their Names and Origins by Edward MacLysaght, (Dublin, 1958)
[1] Ireland's DNA