I'm sorry, I was wrong on many levels. Speechless and Y&I were the only songs she wrote completely by herself. I thought Rick Rubin had mentioned that he and Gaga had written Dope together, but maybe I'm just making that up in my head because he clearly isn't listed as a co-writer.
Brown Eyes was a Gaga/Fusari project. Fusari said that was his favorite song he did/write with Gaga, the one that's most special to him. Wonder why
Regardless, Speechless and Y&I are two of her best written songs hands-down, and so is Dope. She has a knack for writing ballads, even though she doesn't always have an ear for them (Speechless and Y&I products are meh imo, but Dope's is stellar).