glob only works with paths on the server file system, not URLs.
http://www.website.com/content/big/ can really be /var/www/site/content/big on the server and that is the path you need to use.
Enabling the path with / makes glob in the root folder for this folder, and I assume that your server does not have a folder named /content/big/ .
Try this (using the relative path from the root server):
$images = glob('content/big/'.$item['id'].'.{jpg,jpeg,png,gif}', GLOB_BRACE);
Or use the absolute path:
$images = glob('/var/www/site/content/big/'.$item['id'].'.{jpg,jpeg,png,gif}', GLOB_BRACE);
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