No, Morfin Gaunt was not married and neither did he have a child. He spent most of his life in Azkaban, and in the limited time he spent outside prison, he lived with his father, Marvolo, and sister Merope but did not have a significant other of any form. Since he lived a life of poverty, squalor, pure-blood fanaticism, and violent response, it is not surprising that he did not find love.