Here is your assignment if you choose to play along (cue the Mission Impossible music, please!):
1) What was your father's mother's name?
2) What is your father's mother's patrilineal line? That is, her father's father's father's ... back to the most distant male ancestor in that line?
3) Can you identify male sibling(s) of your father's mother, and any living male descendants from those male sibling(s)? If so, you have a candidate to do a Y-DNA test on that patrilineal line. If not, you may have to find male siblings, and their descendants, of the next generation back, or even further.
4) Tell us about it in your own blog post, or in a comment on this post, or in a Facebook or Google Plus post.