Socialness is part of the genetic makeup of a person's personality. Certainly the parents can contribute to that baseline trait by helping a less social child be a bit more comfortable in social situations; however, the parent's "socialness" isn't really going to change what is in the child. The biggest indicator in your post is that since you are not very social, more than likely, that is the reason that your daughter is not. It wasn't merely your actions, but the genetic hand you passed down to her.
I have met a few parents who were true introverts and "on the sidelines" people who had kids who were born wanting to do it all (sports, activities, etc). Their lack of socialness did not thwart the child--the child was quite driven to do those things despite the fact that their dad wasn't the soccer coach, their mom wasn't the PTA treasurer, etc.