Woodbury schools do share the system with Bethlehem. There is only one elementary school in Bethlehem and one in Woodbury. The middle and high schools are in Woodbury, Some areas of Woodbury will be in the Bethlehem district for K-5. You can find out more info by going to http://www.ctreg14.org.
Please call me directly if you would like to chat about the area. I have lived in Woodbury since 1991 but grew up in CT
my direct line is 203.232.3723