Can I use the sale taxes of the home we sold on my 2016 filing?

Your question is a bit odd. The taxes paid in connection with sale of a home are the documentary transfer tax. It is treated like all the other expenses of sale, essentially as an offset to the sale price, thereby reducing the gain on the sale, if any. Losses on the sale of a personal residence are not deductible. Perhaps some tax was withheld and paid to the Franchise Tax Board. If it was reported by escrow to your girlfriend, then it is hers, not yours. If (or to the extent) it was reported as paid for you, then you get to deduct it on your federal return and to treat is as withholding tax paid to the state.