JSF / Facelets: o arquivo CSS não está sendo reconhecido usando a tag <h: outputStylesheet>

Eu estou trabalhando em um projeto usando JSF / Facelets. Eu quero fazer algumas alterações CSS no meu View XHTML, mas nada acontece quando eu implantar meu aplicativo da web no meu servidor Tomcat. Eu tentei muitos truques, mas eu tenho o mesmo resultado.

Enfim, aqui está o meu "styles.css":

body { width: 750px; }

#header 
{
width:              100%;
font-size:          36px;
font-weight:        bold;
line-height:        48px;
background-color:   navy;
color:              white;
}

#footer
{
width:              100%;
font-weight:        bold;
background-color:   navy;
color:              white;
}

E este é o modelo principal "Template.html", incluindo "Header.html" e "Footer.html", onde eu coloquei o meu "styles.css" usando a tag:

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" 
      "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml"
xmlns:f="http://java.sun.com/jsf/core"
xmlns:h="http://java.sun.com/jsf/html"
xmlns:ui="http://java.sun.com/jsf/facelets">
<head>
<h:outputStylesheet name="css/styles.css" />
    <!-- i've also tried this one, using the "library" attribute -->
    <!--
     <h:outputStylesheet library="css" name="styles.css" />
    -->
</head>
<h:body>
<h:panelGroup id="page" layout="block">

    <h:panelGroup id="header" layout="block">
        <ui:insert name="header">
            <ui:include src="Header.html" />
        </ui:insert>
    </h:panelGroup>

    <h:panelGroup id="container" layout="block">
        <h:panelGroup id="content" layout="block">
            <ui:insert name="content">CONTENT</ui:insert>
        </h:panelGroup>
    </h:panelGroup>

    <h:panelGroup id="footer" layout="block">
        <ui:insert name="footer">
            <ui:include src="Footer.html" />
        </ui:insert>
    </h:panelGroup>

</h:panelGroup>

</h:body>
</html>

Anf finalmente aqui está o meu "Main.xhtml", que inclui o template "Template.html":

 <?xml version="1.0" encoding="UTF-8"?>
 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
 <ui:composition xmlns="http://www.w3.org/1999/xhtml"
xmlns:f="http://java.sun.com/jsf/core"
xmlns:h="http://java.sun.com/jsf/html"
xmlns:ui="http://java.sun.com/jsf/facelets"
xmlns:a4j="http://richfaces.org/a4j"
xmlns:rich="http://richfaces.org/rich" template="Template.html">
<h:body>
    <ui:define name="content">
        <h:form>
            <h:inputText title="inputText"></h:inputText>
            <h:commandButton value="OK"></h:commandButton>
        </h:form>
    </ui:define>
</h:body>
 </ui:composition>

Desde já, obrigado :)

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