(I'd test this solution with Websphere and Jetty)

  <!-- use lookup-name instead of dbname tag under j2ee, better control -->
  <!-- for Jetty -->
  <j2ee name="mydb">
    <lookup-name>java:comp/env/jdbc/mydb</lookup-name>
  </j2ee>
  <!-- for Websphere -->
  <j2ee name="mydb">
    <lookup-name>jdbc/mydb</lookup-name>
    <!-- If you use ParanoidCocoon (I've got some Classloader issue)-->
    <initial-context-factory>com.ibm.websphere.naming.WsnInitialContextFactory</initial-context-factory>
    <provider-url>corbaloc:rir:/NameServiceServerRoot</provider-url>
  </j2ee>
   <resource-ref>
       <res-ref-name>jdbc/mydb</res-ref-name>
       <res-type>javax.sql.DataSource</res-type>
       <res-auth>Container</res-auth>
   </resource-ref>

It goes just before the </web-app> line at the bottom. You'll need to change the "mydb" reference here also.

You could check the web.xml configuration with this Servlet (call http://host/app/servlet/my.toolkit.dbg.JNDIDataSourceServlet?resource=jdbc/mydb):

package my.toolkit.dbg;

import java.io.*;
import java.util.*;
import javax.servlet.*;
import javax.servlet.http.*;
import javax.naming.*;
import java.sql.*;
import javax.sql.*;

/**
 * @author D.Bernard (dwayne@java-fan.com)
 */
public class JNDIDataSourceServlet extends HttpServlet {

  public void doGet(HttpServletRequest req, HttpServletResponse resp) throws ServletException, IOException {
    DataSource ds = null;
    Connection con = null;
    PrintWriter out = resp.getWriter();
    resp.setContentType("text/plain");
    try {
      out.println("Looking up DataSource");
      InitialContext ctx = new javax.naming.InitialContext();
      ds = (DataSource) ctx.lookup(req.getParameter("resource"));
      out.println("Getting connection :");
      con = ds.getConnection();
      out.println(con);
      con.close();
    } catch (Exception e) {
      e.printStackTrace(out);
    }
    out.println("Done");
  }
}

If you use ParanoidCocoonServlet, you need to define <initial-context-factory> and <provider-url>. You could find the values with the following Servlet. Use the value of "java.naming.factory.initial" to define <initial-context-factory>, and the value of java.naming.provider.url to define <provider-url>.

package my.toolkit.dbg;

import java.io.*;
import java.util.*;
import javax.servlet.*;
import javax.servlet.http.*;
import javax.naming.InitialContext;

/**
 * @author D.Bernard (dwayne@java-fan.com)
 */
public class RequestInfoSystem extends HttpServlet {

    ///////////////////////////////////////////////////////////////////////////
    // CLASS
    ///////////////////////////////////////////////////////////////////////////
    //-------------------------------------------------------------------------
    //-------------------------------------------------------------------------
    private static final void printTitle(PrintWriter out, String title) {
        out.println("----------------------------------------");
        out.println("---  " + title);
        out.println("----------------------------------------");
    }

    //-------------------------------------------------------------------------
    //-------------------------------------------------------------------------
    private static final void printData(PrintWriter out, String key, String[] values) {
        out.print("  " + key + " : ");
        for(int i = 0; i < values.length; i++) {
            out.print(values[i] + " ");
        }
        out.println();
    }

    //-------------------------------------------------------------------------
    //-------------------------------------------------------------------------
    private static final void printData(PrintWriter out, String key, Object value) {
        out.println(key + " : " + value);
    }

    //-------------------------------------------------------------------------
    //-------------------------------------------------------------------------
    private static final void printData(PrintWriter out, Map values) {
        if (values == null) {
            out.println("NULL");
        } else {
            for(Iterator it = values.entrySet().iterator(); it.hasNext();) {
                out.println(it.next());
            }
        }
    }

    ///////////////////////////////////////////////////////////////////////////
    // OBJECT
    ///////////////////////////////////////////////////////////////////////////

    //-------------------------------------------------------------------------
    //-------------------------------------------------------------------------
    public void service(HttpServletRequest request, HttpServletResponse response) throws IOException, ServletException {
        response.setContentType("text/plain");
        PrintWriter out = response.getWriter();
        displaySystemProperties(out);
        displayDefaultInitialContext(out);
    }

    //-------------------------------------------------------------------------
    //-------------------------------------------------------------------------
    private void displaySystemProperties(PrintWriter out) {
        printTitle(out, "SystemProperties");
        printData(out, System.getProperties());
    }

    private void displayDefaultInitialContext(PrintWriter out) {
        printTitle(out, "InitialContext");
        try {
            printData(out, (new InitialContext()).getEnvironment());
        } catch(Exception exc) {
            exc.printStackTrace(out);
        }
    }
}