If I were your mother and showed up at the other people's house and saw my DIL with OM..........and then find out that I was not told what was going on, I would be FURIOUS with you!
That is so unfair for you to keep her in the dark when your in-laws know. Don't let her find out in that manner. You need to tell your mother. She will be very hurt, if you don't.
I learned the hard way that when we think we are protecting our older loved ones by not telling them important things, it causes them to get more upset that the truth was withheld.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!