I had the opposite experience with the "babysitting" issue. We had a newborn son around the time there were weekend classes that required overnight stays away from home once a month for several months. (This was the summer of 1998) Although we had a newborn, we were "encouraged" to attend the classes and leave our son with people we barely knew. Of course, we gave in and did it but I still kick myself to this day!
Another "unwritten" thing we dealt with was the issue of breastfeeding. After giving birth to a 10# child via emergency c-section and developing severe mastitis in both breasts, I was harangued by my branch coordinator and limb coordinator for "giving up" on breast feeding. I stuck to my guns on this one, though!
What about the policy that "stated" that if only one of the spouses could attend a meeting, it should be the husband?
Or how about having leadership "insist" that we should continue to hold fellowship in our home even with a newborn AND me being sick?