Hi , I am having same condition with you ( I am SPR ,husband on dependent pass) . I have done some research via Internet and decided to give birth in Singapore even though it is quite pricey . To apply SPR for you baby , we need to go to our own country embassy to register birth for baby then apply a passport for the baby .after obtained the passport then walk in application in ICA with related documentations required. No need to make appointment like normal SPR application for baby . Please google for more information. I am not 100 % sure yet.