Yes, those who take care and look after her should start speaking with her in English. It's going to be quite difficult for the child if people around him speak in different languages. While the child may understand both English and Filipino, he may struggle with speaking the language. He may get confused of which language to speak, which may cause speech problems. I've heard stories about kids not being able to start talking at the 'right age' because they seem to be confused with the language that they have to use.
I'm from Cavite and my husband's from Pampanga. We both like our child to learn Tagalog, English and Kapampangan (although I don't speak their dialect). We decided Tagalog to be his primary language and slowly introduce English the traditional way. Like, teaching him the English words for each animal, etc. with the help of children's books and TV shows for kids like Baby First and Disney Junior. He's just 2 years old but once his speaking skills have been developed and we see that he is able to distinguish English and Tagalog languages well, my husband will slowly introduce him the Kapampangan dialect. By introducing each language/dialect slowly, we hope that it will help him develop his communication skills well while avoiding confusion or any speech problem.