Maybe you can ask your mother what's her preference and see how it goes. If I were in your shoes, I do think it's better for her to go home in the evening to get a rest so that you and your husband gets to have personal time at night to bond with the baby, particularly if you mum has the tendency wanting to take over the night duties. As public transport could be a hassle to her, provide her with cab, uber ,grab as an appreciation so that she no need to waste time on logistics? Win win situation on husband's preference on privacy and mum's hassle on travelling to and fro. During night time, everyone deserve their own personal time and space.
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