I came here to north ireland ireland from latvia my country.and I found man to have baby with. My baby born here. I can now have full citizenship no and all benefits for baby with pay? I don't know where father of my baby is and he not on birth certificate. How do I get a irish passport for me and new baby so to get my money from government becas I had baby born her:D:D:D

No, having a baby there doe not give you any special rights I can see. If you had married the man who was a citizen there it may have.

You will have to live there for I believe 5 years to apply for citizenship

Irish Citizenship - Becoming a Citizen of Ireland