Right, you can't say every State has a Senate. Every State has a legislative branch of government whose setup varies by State Constitution. For example, Nebraska has a unicameral legislature while New York and California have a Senate and Assembly while Texas has a Senate and House of Representatives.
> A state senator is a member of a state's Senate, the upper house in the bicameral legislature of 49 U.S. states, or a legislator in Nebraska's one house State Legislature.