Thanks All for your comments.

@Sandi,

She provided me with the address as I had to drop our D at her place. So that is not a problem anymore.

Some Updates and advice needed:

Her mother arrived last FRIDAY and she arrived at my house and called my WW as I was in office. My wife came from her apartment, picked her and left for her apartment.

Today, I receive a call from my MIL and she was crying over phone that her daughter is behaving very badly with her. She said that my WW said mean things to her and disrespected her with a lot of words. She said, she had to sleep on the floor for last two days and her D (my wife) did not even bother about it. My WW asked her to leave her house as soon as possible.
My MIL called me just now and was very very upset and asked me if I could come and pick her up and take her to my place. (She has nowhere else to go as she flew from another country).

I said to her that she should think about it with a calm mind and let me know by evening and if she still feels that she needs to be out of that house, then we can think what to do next. (Honestly, i did not know what else to say).

So, the question is that "Should I bring her to my place"?

Also, my wife called and asked me what I talked to her mother, to which I said that I didn't talk to her about anything related to us and just general stuff. I guess she was worried that I may disclose the affair and that is why she asked me.
I know if I bring my MIL home, this will set my wife in panic mode as she may think about what we are talking about and what I am discussing with her mother (specially about the affair)

As advised earlier, I am not getting involved in their relationship at all and did not talk about anything with my MIL other than general stuff.

Would appreciate if you guys can provide your two cents on how to approach this and what will be the best way forward.

Thanks!