Born in Canada, Raised in America. I feel so rootless?

I was born in Canada to American parents and left for the states at just a year old. But due to bad experiences growing up in Texas, I find it extremely difficult to define myself as American, much less Texan. I just feel like I'm not american, despite the fact that everything but my birth certificate says I'm american. What is wrong with me? Is it wrong that I define myself as Canadian when really I'm not a Canadian at all?