I know it has been awhile since you posted but I did some research about 6 years ago and then put it aside and I have some info. T.P. King was my Great Great Grandfather and his full name was Timothy Putnam King. He is the son you are referring to. In most census records he put his name as T. King or T. P. King. He was married to Anna Carriel I'm sure of that because my Grandfathers name was Zerah Putnam King (my mother's father) and my grandfather was born to Edgar King and Leona Mckinney in Wisconsin. Edgars father was Timothy and his mother was Charity. I have a copy of Timothy's will. So I do know that this is the correct T. P. King.