This meetup group is fairly new,however, it seems to be very active check it out if you wish to meet other parents, and children http://www.meetup.com/The-Eugene-Moms-Group/

also if you google search Moms Club of Eugene this is another way to meet mothers/babies/toodlers...they do charge a $25 membership fee though.

Hope this helps all of you that want to get out and meet some people who are going through similar events in their life. :)