Boyfriend checks out ex wifes facebook page?

[Another Crone]

What she's doing is his business because they share two small children.

That's all you need to know. "Babe" is a very casual endearment that signifies nothing. Waitresses get called it all day long.

If he's "hiding" anything it's likely his resentment at your jealously and suspicion and he doesn't want to endure anymore lectures from you regarding it.

Here's the thing... you are not happy with his life. But it IS his life and it will be his life until the day he dies. He will always have these kids, his ex will always be their mother. It is what it is. If you can not adjust to that then you need to change YOUR life so that you can be happy. That is not likely to happen based on how you might try to manipulate other people's lives. If you aren't happy, that is your business to address for yourself. No one else can ever make you happy. It's a skill we all have to learn for ourselves.