If baby is registered as single mother without a father's name, although married, I don't think you will be eligible for baby bonus but cda will be granted. You will have to contact msf to let them guide you through this.
Unless you get married again to another person and go to court to add in father's name before your child is 12, you should be able to get the baby bonus. You can call msf or email them, they are very detailed and prompt in replies.
http://www.msf.gov.sg/
Anonymous