It sounds like you handled that FB message very well.
I can also telling you that I had almost the exact situation and I handled it badly, and I set our progress back about 4 months.
Over the holidays, my wife and I were on the path of reconciliation. She got a text from a neighbor that I suspected she had a brief fling with back early in the summer. I told her that one of my non-negotiables was that she had to stop being friends with him. She left the house to go back to her apartment an hour later and we've barely spoke since.
So kudos to you for keeping your cool!
Me: 43 W: 37 Together: 18 M: 15 D: 8 yrs old ILYBNILWY: March 2011 She Filed for D: August 2011 She moved out: Sept 1, 2011 Reconciled: May 2012 Divorce Case dropped: July 2012