Yes she loves our trains as long as they are not on. We fostered her at 7 days old and just had to adopt her she won us over. Best foster failure ever! She loves to jump up on our shoulders and take a ride around the house. She is so special to us.She's beautiful! Did you just adopt her? Does she enjoy chasing those trains in the picture?
I would describe your girl as a black and white domestic longhair. Brownish or grayish hairs in the coat are normal for black cats, especially longhaired black cats with their long fluffy undercoat hairs. Most cats are not any particular breed, and are also not mixed with specific breeds, unlike dogs. However, this doesn't make your cat any less special... domestic longhairs are great cats in their own right! Enjoy her!