A child student can be moved to a new Family in Teachworks by editing the student's profile, selecting the new family using the "Family" field, and submitting the form.
You can do that by following the steps below:
Click on "Students" and then click on "Students".
Click on the "Edit" button next to the student you'd like to move to a new family.
In the "Family" field, select the new Family for the student.
Submit the form to save your changes and move the child to a new family.