So....I'm pretty stressed. What's my recourse for getting my daughter sponsored if I'm unable to get a hold of her father? He's been out of her life since she was 2 (14 now), but he's on her birth certificate. I do have divorce papers that show that I have sole custody but that's it. Are there any options for this sort of scenario? I have NO idea where he is or how to get a hold of him. Thanks.
Sole custody is the main thing that you will need. You probably want to check with a lawyer because the law in each country has its nuances (as I understand, basically about how complete 'sole custody' is in law, whether it can be revoked, etc). Or perhaps a lawyer will say your sole custody is basically sufficient (possibly strengthened with other evidence).
There may be other steps that would strengthen / support the case if you have evidence of having looked for him, not available, etc - that might be notice in newspapers, or it might be inquiring with the authorities. Note, I'm NOT saying this will be required - just that they are things that might come up.