The kid is easy to resolve with a DNA test.
Davao is not a great place, can be a bit like Belfast in the 80's, but the chances of being blown in N Ireland, or kidnapped were very slim.
As for the visit visa, only around 5% succeed. Search the forum.
I knew my wife for 2 years before she came here, and visited her in Singapore about 5/6 times.
It would probably be cheaper for you to buy a cheap PC/Laptop for her, put her on broadband, and use Skype, or something.
