smokeycabin--many kansas school districts are in more than one county, therefore living within the confines of "the" county is more often NOT a requirement for residency within a school district.
It is not unusual for districts whose boundries border the state lines to have students come to their school. This if often due in rural areas to distances. In some cases it is closer to the "out of state" schools than it is to one's home district schools.
To further complicate matters, often times in the rural areas close to state boundries farmers will own land in both states. The fact that they choose to live in one state over the other does not mean that they don't pay property tax in the other!
If a school has an open admissions policy and the out-of-state students meet all other eligibility requirements they are eligible to be members of the teams of the school which they attend.