Yep, that's the case. I am the product of that relationship.
My (white) family was never too opposed to the idea of marriage between my black girlfriend and myself (and we probably would have gotten married if our personal goals in life had aligned just a little bit more closely), but they did feel like if we did, it might be hard on our kids to be neither one race nor the other. I never thought that would be a huge problem. Have you (and any brothers/ sisters you may have) found it difficult, or not so much?