Look for this code in your SHOWTHREAD template:
HTML Code:
<fieldset class="fieldset" style="margin:$stylevar[formspacer]px 0px 0px 0px">
<legend>$vbphrase[options]</legend>
<div style="padding:$stylevar[formspacer]px">
<if condition="$bbuserinfo['signature']">
<div style="float:$stylevar[right]"><label for="cb_signature"><input type="checkbox" name="signature" value="1" id="cb_signature" tabindex="5" checked="checked" />$vbphrase[show_your_signature]</label></div>
</if>
<label for="qr_quickreply"><input type="checkbox" name="quickreply" value="1" id="qr_quickreply" accesskey="w" tabindex="4" />$vbphrase[quote_message_in_reply]</label>
</div>
</fieldset>
I'm not sure if you can just remove it (you can try). You may have to at least set those variables by making the inputs hidden.