Using a solicitor based in the Phils would be a total waste of time and money in my opinion.
As has been previously mentioned, it is the BRITISH authorities and regulations that you are dealing with, and it is there that any appeal will be heard/decided.

Reading between the lines, the main problem is the status and wishes of the biological father ...which of course are taken into consideration.

Probably a clearly worded statement by him giving HIS side of the story regarding his present and future relationship with your child would go a long way to clarify the situation for the ECO (or appeal judge).