Leia had no idea how to go into the whole... her and Han having a family thing. It was just complicated and who knew what else. She didn't want to put any pressure on him after all. True she felt comforted that he hadn't responded adversely to her hug from earlier or her taking his hand. Which had to mean he knew something of their relationship, but from where, she did not know. But he deserved to know so that their children didn't say anything that would catch him off guard.
"There are people here from our future.... our children, as well as granddaughter...." Remaining silent for a moment to let it sink in, Leia continued. "Their names are Jacen, Jaina, Anakin and then our granddaughter is Allana..." Standing up, the princess began to pace some, "Jacen used to be a Sith Lord...He explained it to me, but I do not really understand. I haven't spoken much with Jaina, but Anakin has been staying on my couch and I meet with Allana nightly to have hot chocolate and watch the news..."
Pausing, Leia looked to Han, pressing her lips together.
"I'm sorry..." For what, Leia didn't know. As happy as she was that Han was there, this wasn't the war they were fighting. They didn't know anything about what they were up against and so they were sitting blind. Then there was the fact that she basically told Han that they had a family when she didn't know where he was from... It was all so very confusing.