The above idea is good, call them out for Winter dinner earlier and keep today for your girl. You can ask them to join or not, if they come, OK, if not, better, you guys would have better celebration.
I love birthday as well and wish everyone says happy birthday to my kids, but as we can't control others, just do whatever you can!
I have 2 girls as well and all says I only have girls...... who cares? I love them!
Finally I have a boy as well (just for myself, not for others), but I still love my girls more!