If you kept the session id (through cookies) you can maintain the session. Try this experiment with Tomcat4:
// a.jsp
<%
session.setAttribute("test", "HI");
%>
<%= session.getId() %>
//b.jsp
<%= (
String) session.getAttribute("test") %>
Put them in your webapp and access a.jsp. Note and copy the sessionid displayed. Kill the browser and restart Tomcat4.
Access b.jsp and attach jsessionid={whatever sessionid you got} to the URL, e.g
http://localhost:8080/myContext/b.jsp;jsessionid=0B1816DE194C7A3E78F962B16052F79E