Originally from Texas, I do not have a "Texan" accent that everyone thinks that all Texans have and I don't know anybody that does have a "Texan" accent.
I do have a friend from Ohio who I firmly believe has an accent. She denies it, but did tell me that there is a Northern Ohio accent and a Southern Ohio accent. I do not know which she has b/c I am not from that area.
I think everyone has some sort of accent, it just isn't very noticable. There is no "one accent" that is the norm, or is there? I think you notice the accents that are most unlike the one you have or are accustomed to hearing.