K.D.
Have you thought about joining a Mom's group? It is a really great way to meet people. We have a great MOPS (Mothers of Preschoolers) group in Bay Village and there are several women from Avon who belong to it. You can get registration information from www.mops.org or you can look at the Bay Presbyterian website (www.baypres.org) for our actual chapter's information. You do not need to be from Bay Pres in order to join. I was new here four years ago and I have met so many great moms (and kids) through Bay Pres MOPS. Our meetings are on alternating Mondays (Sept-May) and wonderful childcare is provided. The registration deadline is Aug. 21st.
You can also join your local early childhood PTA. I am pretty sure that Avon has one. Google "Avon Early Childhood PTA" and see if you find anything.
Both of these groups will help you meet women and get you hooked up with activities, playgroups, etc. Good luck!