I understand that she may not agree with her father lying in regards to your relationship, but the way I see it is, it was between the two of you - husband and wife, and the stuff that happened then is pretty long gone. I'm not trying to dismiss the cause of your split back then, but you've moved on and found a decent man since. If it was me, I would encourage her to invite him and do as Eccles did. That's my opinion based of what you've shared, obviously I wouldn't claim to know the full extent of why you split and I'm not trying to belittle it in any way :-)