No. I didn't want anyone else (like the grandmothers) being more involved in my kids' lives than just being close to them, kind to them, and special to them. I saw my kids as my own responsibility, and I didn't expect help from anyone. Also, I didn't want anyone else "butting in", so there's that side to it too.
Either way, I loved that my kids were super-close to their absolutely wonderful, kind, giving, and loving grandmother (grandmothers and grandfather for that matter), but I absolutely didn't see it my mother-in-law's responsibility to help with my kids.
That's not saying that in a close family, if some big emergency comes up (someone gets sick or there's dire financial trouble, or whatever), it isn't "what close families do" to help in some way. That's kind of natural for people who care about those close to them to do (but I suppose, in some ways, some might see that as at least slightly a matter of sense-of-responsibility).
What I mentioned first, though, referred to the day-to-day stuff associated with having children and taking care of them. My kids had two parents: me and my husband. If anything happened to him they would have had only one. Either way, none of their grandparents were "co-parents" with me as far as I was concerned.
My kids were my responsibility, and I liked it that way and kept it that way. If and when my grown kids ever decide to bring children into the world I'll expect them to do the same.