The arrival of a beautiful baby boy has not eased the bad blood between exes Bridget Moynahan and Tom Brady. The New England Patriots quarterback flew to LA by private jet last week for the birth of his son, John Edward Thomas Moynahan. "Tom was only allowed to see the baby for a short time," says a source. "Bridget would not see him herself." Moynahan's publicist said in a statement: "Bridget is very thankful for a happy baby, excited about being a mother, and very pleased that the father, Tom Brady, was able to be there for the birth." But an insider says, "He was only allowed to come after the baby was born. The woman would not see him, period. And she gave the baby her last name... [Tom] is waiting to find out when he can see the little guy again. Bridget is not giving him any slack on this at all." Yesterday, her spokesman said Brady and Moynahan were "together" at the hospital, but couldn't say if he was in the room during the birth. "Bridget and Tom are on speaking terms and have the best interests of the child at heart."