Dear L.,
I have gone through the same situation with my first daughter. I think you should at least take her to the play ground three times a week if possible. This way she could meet other kids and socialize. Also, a lot of public Libraries offer story time several times a week, and on weekends. Even finding a good daycare center, and having her go there once a week would be a good idea. You could also try swimming class in the YMCA depending on the prices that are available in your area. Unfortunately at the time I did not have any means of transportation, even public. Buy the time I was able to get a car she had already started school. Even though my daughter loved other kids, she had an extremely hard time learning how to communicate with other students when she first went to Pre-K at the age of four, and it took a great, dedicated, loving teacher with 17 years of experience to fix the problem. She is now eight, and doing very well :) with lots of good friends and a gifted mind ;) Seeing other kids is a must! I hope all goes well for you, and your 2 year old. Good Luck!:)