Finding a Lost Relative?

In 1961 we moved to Pea Ridge Arkansas. We caught a bus and went to school in Jane Missouri. I was in the 7th grade that year. My best friend, who I found out was also my second cousin, was in the same grade. Her name was Dottie Keene. She told me her father's name was Bill Keene. She never mentioned her mother. She never talked about having sisters and brothers. I believe she was an only child. My mother was a Keene and her father's name was Arval Adalbert, and everyone called him Zack. He was born into a large family, the mother being Sarah Menerva McCool, who was married to Willis David Keene. Willis was born in 1867 and Sarah 1878. There were 10 kids who lived, and one died of SIDS at an early age. Bill was the 9th child, who I once thought was Dottie's father. In my search to find Dottie, a cousin told me that a family member told her that Bill had gone off on the sly and got a lady pregnant, who lived in one of the hollers in Pea Ridge, and his other family didn't take to this very well and they moved away. Then one of the grandkids of Uncle Bill told me that the girl did not carry the last name of Keene. There was still a Dottie Keene, and we were the same age, and she lived in one of the hollers in Pea Ridge, and when I asked her what her father's name was, I could almost swear that she said, "Bill" I heard that the girl's mother passed away and she was living in her mother's same house, but no one seems to know of her. There has got to be someone who knew her, besides myself, who also knew her, as a Keene, who maybe knew who she married. Married names throw people off on searches too. I stopped searching for a while, but now reaching out for help or ideas. I don't live too far from Pea Ridge myself, and I just married a man who has a car. We may go visit the town and ask around, but if anyone has any ideas, let me know.