You still have to separate your income based on the states that you worked in. For your personal income, it doesn't matter whether you are paid by the S corp or directly by the client. The amount you earn for the work you do in each state is income from that state. Funneling it through the S corp does not change that. Where you do the work determines where the income is taxed.
The S corp also is conducting business in each state that you work in, so it has income from each state, even though it's established in Texas. I'm far from an expert on S corps, but I'm pretty sure that the S corp has to file in each state that you worked in.
Working or doing business in multiple states creates a complicated tax situation. I again recommend that you engage a tax professional to guide you through it. You need someone who has experience with multi-state taxation of individuals and businesses.
