I am not sure what to name my dog and I don't wanna name it after a trademark name.
Most Helpful Girl
I think that only matters if you make money from using a trademarked name. Even then, I don't think actual names of living entities can be trademarked1
Most Helpful Guy
I think you can name your dog after a movie personage and all that. I don't anyone would sue you or something lol. I knew people who already did it1