@Chad if i understood correctly, baby is expected to be delivered this October pa lang tama ba? So i guess CO is setting expectation that he will need a list of documents from you...
To share my experience, it didnt take 2-4 months before ko nakuha birth cert ng baby ko. I think less than a month, nakuha ko na birth cert pero mejo matrabaho kasi we had to mke sure na si hospital iforward agad sa munisipyo yung birth cert tapos from munisipyo to NSO satellite office para makakuha ng transmittal. Pagkakuha ng transmittal letter dun pa lang kami pumunta sa NSO main para makuha agad yung birth cert.
In short, nangulit kami hehehe... I guess aware yung mga ospital how to do this.
Once may birth cert kna, pwede ka na dumiretso sa dfa to get passport. No need na pumila. Parang in total within first month ng anak ko nakuha na namin yung passport nya kasi yung release date sa passport nya is 3 weeks after sha pinanganak.
Hope this helps.