This is interesting news as "Tine" Infield was my grandfather's father also, which means that we have the same Great Grandfather and my grandfather would've been your father's brother, which, I guess means we are related.
I have asked my father about "Tine" and he said that he owned a grocery store in Bartlesville, OK (I believe) and that is was quite successful. Vallie (my grandfather) was Tine's son and he married Annabelle Lee Hammons and they had three children: Janice (the oldest), Sandra and Jimmy (my father) who were twins.
I am not close with my father's side of the family either (due to an early divorce between my parents), but I met my grandfather Vallie who was extremely shy and quiet. My Aunt Janice was as comfortable as an old shoe as was my father and Aunt Sandra. Janice now lives in Barnsdall, OK; Jimmy lives in St. Louis, MO, Sandra lives in the Bethany, OK area -- not sure exactly where.
My grandmother, Annabelle Hammons, died in a car accident about 43 years ago and my grandfather, Vallie, passed about 15 years ago from nose and throat cancer.
I'm sure this is way more information about my grandfather and his children than you wanted, but I will see what else I can find out for you from my father about the siblings of "Tine" Infield and will be very happy to share with you.
Thanks a bunch,
Jonna (Infield) Pierce