Yes, I do have a genealogy program that can accept GED files. I use Family Tree Maker.
George Girty Jr. could not have been Jack's father. According to census records, George Jr. was born sometime between 1780 and 1790, which would make him less than 12 years old when Jack was born. An informant of Lyman Draper said that George Girty Jr. was a young boy during Wayne's campaign, which was in 1791.
I agree that Ka-ya-ker and Car-ter-yar are the same. The tradition in the family that Jack was of Delaware descent and of English/Irish descent is compelling evidence that he may be connected to the PA Girtys, but for now there is no proof of just who his father was. We can only guess right now. He could be a son of any of the Girtys for all we know or none of them. We need to keep searching. There's a lot of records and manuscript collections out there that have not been tapped into which may have some answers. Indiana and Ohio has many manusrcipt collections dealing with the early Indian agents and fur traders which may have some clues. It will just take some time to find these and search them out.