Ah ha! I was incorrect in what I said earlier. While investigating another issue, we ran into this issue as well. It seems to be caused when with a combination of a PHP 5.0 or 5.1 library installed (PHP 5.2+ is not affected) and using the JSON wrapper that Facebook includes. If this is gibberish, don't worry.
If you are comfortable making a change to a file, we'd love to hear if the below change fixes your issue. It will definitely be included in the next release of JFBConnect as well:
File: /administrator/components/com_jfbconnect/assets/facebook-api/jsonwrapper/jsonwrapper_inner.php
On both lines, add the bolded section within the ( )
Line 9 and line 18:
$services_json = new Services_JSON(SERVICES_JSON_LOOSE_TYPE);
You're English was fine by the way. We understood the question, but didn't not realize the problem. Hopefully the above helps!