LeAnn Rimes may be ready to welcome her first child, via surrogate. Are LeAnn Rimes and Eddie Cibrian about to welcome a child together? Eddie Cibrian Just Gifted LeAnn Rimes A MASSIVE Diamond Ring During the couple's former reality show, LeAnn & Eddie, which aired on VH1 for one season, the couple discussed the idea of having a child, but have they finally put their future plan in motion? According to a new report, the answer is "yes!" “The heartbreak of repeated negative pregnancy tests became too much for LeAnn,” a source told OK! Magazine on Friday.