How can I sponsor a women and her child from the Phillipines. to Arizona. I am a citizen of the US

If you are a US citizen, you can sponsor your girlfriend for her fiancé visa and your stepdaughter provided that she is a minor. One of the conditions in order to pursue this pathway if you have to physically have met your girlfriend within two years of filing the application. You can go over there to meet her Or she can travel to the United States to meet you. But this condition cannot be waived.