They had at least one child; although it can be safely assumed that it was at least two, due to Bodine's comment that she "punche[d] out a couple of kids". Given by a picture found in Rose's room, at least one of their children was a boy, who grew up to have a child of his own, Elizabeth Calvert.
Rose never told Mr. Calvert about Jack Dawson, who she was in love with all her life. It is unknown if Mr. Calvert also found out about the failed engagement to Rose and Caledon Hockley. Whatever her past loves, it would appear from her photos and the way she mentioned her lawfully wedded husband that she did respect and hold him in high regard, as they were married until he passed away.
Mr. Calvert is present in one of Rose's pictures, displayed with their children, supporting Lewis Bodine's claim that Rose "punched out a couple of kids".