I think what you're looking for is the CookieContainer class. If I understand what you're trying to do correctly, you have separate objects for request & response, and you want to transfer the response cookie collection into the next request cookie collection automatically. Try using this code:
CookieContainer cookieJar = new CookieContainer();
HttpWebRequest request = (HttpWebRequest)HttpWebRequest.Create("http://www.google.com");
request.CookieContainer = cookieJar;
HttpWebResponse response = (HttpWebResponse)request.GetResponse();
int cookieCount = cookieJar.Count;
Once you create a cookieJar
and set it to the request's CookieContainer, it will store any cookies that come from the response, so in the example above, the cookie jar's count will be 1
once it visits Google.com. The cookie container properties of the request & response above will store a pointer to the cookieJar, so the cookies are automatically handled and shared between the objects.