They were from Belfast and had 2 sons at the time--James Franklin and John. After arriving in America, they had 4 or 5 other children. They settled in Ohio.
Not sure if you have this record. The couple married 3 Dec. 1862 in St Anne’s COI in Belfast. William’s middle name was John. He and Lucinda both lived in Belfast. He was a dealer; his father James was also a dealer. Lucinda'a father, James, was a butcher. Witnesses: William Hutton, Catherine Skinner.
Are you looking for their relatives such asparents, siblings? Or are you looking for living relatives? If the latter, you might contact the heritage society in Belfast and/or the local newspaper.