Url Rewriting in asp.net but maintaining the original url

Question

Page aspxHandler = (Page)PageParser.GetCompiledPageInstance(virtualPath, context.Server.MapPath(virtualPath), context);

aspxHandler.PreRenderComplete += AspxPage_PreRenderComplete;
aspxHandler.ProcessRequest(context);

When you call Page.Request.Url after this, you get the Url of the page you rewrote to

...what I'm looking for is to do a rewrite, but for Page.Request.Url to remain as the original url that was passed in. Is that possible?