Dorsie, I just checked my Ancestry line. I am not directly related to Buckner. I am related to his brother, Hezekiah Parker, who I think died in his twenties. He had a son, Jacob William Parker, who lived with Buckner Parker.
Great! you already match David Parker. If he has already done yDNA and you two prove a paper link, there is no need for you or a male relative to test. The Parker DNA project is yDNA only, therefore males only. You could sponsor a male within the same line, I did this in my GM Parker's Dennis line. There is a DNA test for women but my knowledge is limited. I tested with familytreeDNA.com. Mike