Your manager will not care about your pick up and drop off schedule nor all the unforeseen days off for doctors appointments, sick days, etc. If you are breastfeeding, I'm so sorry. Your mother's room is a vertical casket of a closet that has blinds on the door (that you can see through if you really wanted to). Incredibly claustrophobic and uncomfortable with no way to reserve the room.
There are plenty of companies that understand what working moms have to go through and accommodate them with empathy and respect. This is not one of those companies.