Another observation: where the pastor/parish relationship was good and open prior to the baby's arrival, this stuff is pretty easily and openly negotiated. But if there were significant tensions pre-baby, the presence of the baby during work time becomes an opportunity for those tensions to get played out.
The baby in the office question is a short term issue at any rate. Once the baby can crawl, all bets are off. The day my 8 month old dragged all the books off the bottom two shelves of the bookshelf and attempted to eat the plant on the table in the work area was the last day she came to work with me.