If the fathers name did not feature anywhere on the birth certificate,why didnt she say he is Njoroge,Otieno,Wamalwa or any other kenyan name? there is no way of proving he wasnt,is there? If need be,you can even drag a good friend who claims he is the father but doesnt want to have anything to do with the kid as it was not 'planned' in his life.... you get your papers,he walks,you walk,game shot....(yes i know,easier said than done)... but i thought it could be an option. As for the one whose father appears on the birth certificate - hiyo ni ngumu but it can still be done... infact i remember a colleagues cousin who even got a kenyan birth certificate for her kid who was born in Lesotho with a lesoth(ian/ese?) man - but that's the corruption that we have been trying all these years to fight.
Experience is what you get when you don't get what you want.