We live around the corner from DP's parents, and since having DS have been visiting quite a bit - if we don't, MIL complains, mostly in jest but I think she really likes seeing DS's progress.
I can understand MIL being preoccupied with DS, he's only eight weeks old, but when she does remember either of us are there it's usually to talk to me about him, or hand him back to me for a few minutes, or to ask me if I mind her holding him so much. DP alternates between getting on with other things (which is fair enough, but sometimes annoying) and looking actually left out. In the past when I've wanted to talk to MIL frankly DP has asked me not to to avoid ruffling her feathers, and for the same reason also tends to avoid confrontation.
But DS is DP's baby too, and surely it's only fair for MIL to sometimes ask how DP is getting on with parenthood, or even hand DS to DP instead of me for a change?