You cannot file a part-year return for either state if you did not permanently move into one house or the other and have taken steps to establish residency in the other state.
Even if you use your PA home as a "second home", you may still be a PA resident if you have have a PA driver's license, vote in PA, list PA and/or use your PA address for your banks, doctors, etc,
In that case, you have not abandoned PA residency regardless of the amount of time you spend in PA. It's the same as if you spent 8 months in a Jersey shore home.
Your must first decide where your permanent home is.
If your permanent home is in NJ, then you will file as a NJ resident and report all your income to NJ.
If the PA home is in your name only, it sounds like you are a PA resident and your GF is a NJ resident.
Is your employer withholding PA tax? If you are a PA resident working in NJ, your employer should be withholding PA tax because the two states have a reciprocal agreement so you only have to file a PA resident return and report all your income to PA.
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