Robert, I have have just been through the process, but I am married. It is a bit of a long haul getting all the papers together, NSO this NSO that, birth certs for the baby, you , your fiancee, copies of doctors notes/scans etc etc, but it is possible and you should of course have your name on the birth certificate. My wife was asked who she wanted on the cert and I was named of course. To be honest, for the UKBA, you just need to have proof that you have been together and you were in Phils for the conception of the baby.
I have attached links to the forms you will need to fill for the baby's UK passport. Do this asap. The C2 for and C2 form notes explain the requirements.
http://centralcontent.fco.gov.uk/res...fs/form-c2.pdf
http://centralcontent.fco.gov.uk/res...m-c2-notes.pdf
Hope that helps.
