What does a parent network look like?
Your group - your decision. WIll you meet once a week or once a month? At the playground or the local church or at each other's homes? Have a meeting place in mind and few time slots to offer to potential members. Think about what you want to accomplish and how you want to present it.
Talk to parents - the parents of your children's friends, your co-workers and neighbors. Get their input too. Sometimes others generate great ideas or think of overlooked details.
Now you have a meeting place, a time and a few interested and enthusiastic participants. At the first meeting, make sure everyone gets acquainted. An icebreaker can make it easy for people to warm up and get in the right frame of mind for discussion.
Present a topic for discussion or come up with two or three items ahead of time. Ask group members for their ideas for future meetings. Talk a bit about what people expect from the group and set goals for the group.
Most of all, enjoy sharing with and supporting each other.