Magento – Override Page module in magento

I have override page Module means changes the footer pages. So that I have created Page module. but it's displaying empty page.

my code is:

magento\app\etc\modules\Page.xml

<?xml version="1.0"?>
<config>
    <modules>
<Easylife_Page>
            <active>true</active>
            <codePool>local</codePool>
           <depends>
                <Mage_Page/>
            </depends>
        </Easylife_Page>
 </modules>
</config>

magento\app\code\local\Easylife\Page\etc\config.xml

<?xml version="1.0"?>
<config>
    <modules>
        <Easylife_Page>
            <version>0.1.0</version>
        </Easylife_Page>
    </modules>
    <frontend>
        <layout>
            <updates>
                <easylife_page>
                    <file>page.xml</file>
                </easylife_page>
            </updates>
        </layout>
    </frontend>
</config>

magento\app\design\frontend\easylife\default\layout\page.xml

<?xml version="1.0"?>
<layout version="0.1.0">

    <default translate="label">
        <label>All Pages</label>

        <block type="page/html_footer" name="footer" as="footer" template="page/html/footer.phtml">
            <block type="page/html_wrapper" name="bottom.container" as="bottomContainer" translate="label">
                <label>Page Footer</label>
                <action method="setElementClass"><value>bottom-container</value></action>
            </block>
            <block type="page/switch" name="store_switcher" as="store_switcher" template="page/switch/stores.phtml"/>
            <block type="page/template_links" name="footer_links" as="footer_links" />
        </block>


    </default>

</layout>

magento\app\design\frontend\easylife\default\template\page\html\footer.phtml

<div class="footer-container">
    <div class="footer">
        <address><?php echo $this->getCopyright() ?></address>
        <p class="bugs"><?php echo $this->__('Frequently Asked Questions') ?> - <a href="faq" onclick="setLocation('<?php echo Mage::getUrl('faq/index/index'); ?>')"><strong><?php echo $this->__('FAQ') ?></strong></a> </p>
    </div>
</div>

Is this steps are correct or wrong? Please suggest/guide me how to override like all files in page Module?

Can any one tell me where I went wrong?

thanks.