Rachel Green is your mom, she had you after she ran off the wedding and started living with Monica.
She was freaking out, she didn’t love Barry and of course she hated the idea of raising a child with him, plus he made it clear he didn’t wanna have kids.
So Rachel decided to raise you at Monica’s apartment, Barry never reached out, he didn’t care about you after all as he was a deadbeat dad. You knew who he was but you also were aware of the fact he had another family with his new wife so you never called him “dad”
Now 5 years have passed and you are so close to your mother that you almost never asked about Barry. Your mom was your whole world and you were just so proud to be her daughter. You currently live at Rachel and Monica’s apartment even though Monica and Chandler started dating and they are thinking of living there together