You should have a code for each doctors. I would suggest you to display code along with the doctor names in DropDown. Try this:
DataTable dt2 = new DataTable();
SqlConnection cn1 = new SqlConnection(Class1.cs);
SqlDataAdapter da2 = new SqlDataAdapter("SELECT (Doctor_Name +' - '+ Doctor_Code) AS Doctor_Name, Doctor_Code FROM Sales_Details", cn1);
da2.Fill(dt2);
comboBox2.DataSource = new BindingSource(dt2, null);
comboBox2.DisplayMember = "Doctor_Name";
comboBox2.Text = "Select One...";
cn1.Close();
Now, if the two doctors are having same name also then user can easily identify with their codes.
--Amit