Take this line and delete it:
HTML Code:
<div id="remember" class="remember">
<label for="cb_cookieuser_navbar"><input type="checkbox" name="cookieuser" value="1" tabindex="103" id="cb_cookieuser_navbar" class="cb_cookieuser_navbar" accesskey="c" /> {vb:rawphrase remember_me}</label>
</div>
Find this:
HTML Code:
<input type="submit" class="loginbutton" value="{vb:rawphrase log_in}" tabindex="104" title="{vb:rawphrase enter_username_to_login_or_register}" accesskey="s" />
Right above it add this:
HTML Code:
<label for="cb_cookieuser_navbar"><input type="checkbox" name="cookieuser" value="1" tabindex="103" id="cb_cookieuser_navbar" class="cb_cookieuser_navbar" accesskey="c" /> {vb:rawphrase remember_me}</label>
I think that should do it. Play with it a bit to get it how you want.