If your storage heaters are giving off paraffin or gas smelling fumes it will be for one of the following reasons...
1. They are new, and you should always expect for some smell to come out of them for a few days if they are new
2. You have decorated, polished, varnished or painted anything within your flat recently
3. Importantly, and is usually the case with mystery paraffin smells, your neighbours (if you live in a block of flats), have painted, polished or varnished anything recently. That includes the flat on the opposite side of the hall and especially below you.
4. They are old and the fabric inside is breaking down and emitting a paraffin or chemical-like smell as it does so.
5. They have been left on at full temperature for weeks in a row (unusual as this would normally make the temp uncomfortably hot)
6. There is something stuck inside the heater - a plastic toy, a plastic wrapper or anything of that nature
The paraffin smell IS NOT dangerous, though it is unpleasant. It is as common in new heaters (for reasons 1-3) as with old heaters. If the smell continues for more than four days you should call a professional and make sure you turn your heaters off before the electrician visits (the heater cannot be dissaembled while it is charged).
It is important to understand that carbon monoxide poisoning is a totally different issue. To be absolutely on the safe side, you should get a carbon monoxide detector and have it one in at least two rooms of your flat. This is especially important with young children.
Hope this helps!
beezelectrician, January 2013