OK, plenty of people here would like to help you but first you need to explain really what help you'd like and secondly try to explain everything in as much detail as possible.
However, if I understand correctly that the British boyfriend is the legal father of a child in the Philippines, and has now abandoned the child, then your friend will most likely have a right to claim 'Child Maintenance'. Here is a quote about this
By using the contact informatin this website, your friend may be able to obtain some helpThis is a reciprocal arrangement governed by international conventions, which means that foreign maintenance orders in favour of individuals abroad can likewise be registered and enforced by UK courts against UK resident; or a maintenace claim by an individual abroad established in this country.
The Maintenance Orders (Reciprocal Enforcement) Act 1972 provides that the Lord Chancellor is the transmitting and receiving agency in England and Wales for maintenance cases where one party lives outside of the UK. The Lord Chancellor delegates his operational responsibilities as the transmitting and receiving agency to the REMO Unit, which is located in the Office of the Official Solicitor and Public Trustee.
http://www.officialsolicitor.gov.uk/...o_contacts.htm
But she should take some time to set out the details of her claim, the entire situation etc first of all.
Realistically, she should first determine if the boyfriend has actually left her, or whether something has happened.