This may be your lucky day.
I have Rebecca Frances Hickman; but, I have her married to Joseph W King - not Thomas K King. I have Thomas as her father-in-law and married to Luicita/Letitia Cooper. Joseph and Rebecca also had a son named Thomas King (bn May 5, 1863 - Daviess Co, KY). That is as close to current that I can go with this line.
According to your latest information, this Thomas King married Martha Camp and their daughter Beulah Frances King married Ernest Edgar Hale. I do not have this information, but in as much as you would be intimately aware of this information, I will add them.
Also, instead of Hale, you may consider looking for Haile, Halley and Halle - if you have not already. These surnames are in my database.
This should help. Also, let me know how certain you are concerning your comments per "Thomas K. King m to Rebecca Francis Hickman ".