Your mother said Zula Beatty died November 28, 1986, not November 11, 1986 as you stated. Which date is it?
I know your mother has Floyd Pickett listed in the KY birth records, but you have to think outside the box when it comes to research. If Zula decided that she did not want her son to have the last name of Pickett, she could have easily had it changed to Beatty. Too much time has passed since Floyd was born and he is now 60 years old. Anything could have happened.
If you don't want to call Floyd Beatty, contact me off line and I will call him for you just to verify we have the same person. Just click on my user name and you will see a link to contact me.