SPWeb web = SPContext.Current.Web;
SPList oList = web.Lists["MyList"];
SPListItem oListItem = oList.Items[1];
oListItem["Name"] = TextBox_Name.Text;
oListItem.Update();
//my list wont get updated why?

list nameorinternal nameof the field in your code. – Ishan Nov 30 '12 at 12:15