WINONA, Minn. — The private Cotter Schools sees growth ahead for its early childhood programs. There is a need, said Erin Koetz, admissions coordinator in a Winona Post interview.. Koetz pointed to Cotter being near capacity at Nicholas Hall on the old College of St. Teresa campus and at the Main Square Montessori downtown. Enrollment this fall rose to 192 from 177. Families take comfort in the continuity of starting children at Cotter and having them continue at Cotter through high school, she said.