Here is a screenshot of the top ten DNA matches for me at 23andMe. My parents are my closest matches. Because I was fortunate enough to be able to have them tested, all of my other matches show whether they are paternal or maternal matches by the "P" or "M" displayed after their names. For privacy reasons, I've erased the last names of public matches.
My next closest match is on my paternal side, William, who I've already contacted and determined that we are third cousins through common ancestors of Luman Walker Lemasters Jr. and Mary Keziah Chew.
The next closest public match is on my maternal side, Ellen. We've corresponded but have not made the connection. She has not yet shared a family tree, but states she has many Quaker ancestors, so that gives me a starting point to searh on my maternal side. She is predicted to be a 3rd to 5th cousin, which means we could share 2nd-great through 4th-great grandparents.
I have reached out with introductions to the remaining matches and hope that they eventually respond.