URGENT: Can't use web service from ASP.net web application after switching to SSL and Integrated Windows Authentication

I am have an ASP.net 2.0 web application that calls an ASP.net 2.0 web service on the same server in a different directory.  At first the service was open with no encryption and anonymous access was allowed.  The web service worked fine like this.

We recently installed an SSL certifice for the server and I un-checked anonymous access on the directory the web service is in and just left Integrated Windows Authentication.

The web application now reports the following error when calling the web service:

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No connection could be made because the target machine actively refused it

[SocketException (0x274d): No connection could be made because the target machine actively refused it]
   System.Net.Sockets.Socket.DoConnect(EndPoint endPointSnapshot, SocketAddress socketAddress) +1002146
   System.Net.Sockets.Socket.InternalConnect(EndPoint remoteEP) +33
   System.Net.ServicePoint.ConnectSocketInternal(Boolean connectFailure, Socket s4, Socket s6, Socket& socket, IPAddress& address, ConnectSocketState state, IAsyncResult asyncResult, Int32 timeout, Exception& exception) +431

[WebException: Unable to connect to the remote server]
   System.Net.HttpWebRequest.GetRequestStream() +1504525
   System.Web.Services.Protocols.SoapHttpClientProtocol.Invoke(String methodName, Object[] parameters) +103
   WS_Security.Security.Login(String Acf2Id, String Acf2Password) +63
   ASP.login_aspx.blnCheckUserLogin(String sUser, String sPass) in c:\inetpub\wwwroot\GSS\Login.aspx:52
   ASP.login_aspx.Login1_Authenticate(Object sender, AuthenticateEventArgs e) in c:\inetpub\wwwroot\GSS\Login.aspx:65
   System.Web.UI.WebControls.Login.OnAuthenticate(AuthenticateEventArgs e) +106
   System.Web.UI.WebControls.Login.AttemptLogin() +105
   System.Web.UI.WebControls.Login.OnBubbleEvent(Object source, EventArgs e) +99
   System.Web.UI.Control.RaiseBubbleEvent(Object source, EventArgs args) +35
   System.Web.UI.WebControls.Button.OnCommand(CommandEventArgs e) +115
   System.Web.UI.WebControls.Button.RaisePostBackEvent(String eventArgument) +163
   System.Web.UI.WebControls.Button.System.Web.UI.IPostBackEventHandler.RaisePostBackEvent(String eventArgument) +7
   System.Web.UI.Page.RaisePostBackEvent(IPostBackEventHandler sourceControl, String eventArgument) +11
   System.Web.UI.Page.RaisePostBackEvent(NameValueCollection postData) +33
   System.Web.UI.Page.ProcessRequestMain(Boolean includeStagesBeforeAsyncPoint, Boolean includeStagesAfterAsyncPoint) +5102
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We have a windows application that also calls the web service.  The following sample code allowed it to work correctly:

Dim ws As New WebServiceName
ws.Credentials = new NetworkCredential("user", "pass", "domain")
ws.DoSomething()

When I used the same code in the web application, nothing changed and I got the same error.

Any help would be greatly appreciated.