Ah, you have a smart meter. So you can see your actual usage by time? Mine is currently 470Watts with several energy saving lights on, 2 x fridge freezers; cooker extractor hood, desktop computers, half a dozen chargers, burglar alarm power supply and trickle charger, and the porch and landing lights which are on all night.
When the lights and fan go out , it will be using 240W to 360W (I have a tool that records by the minute and draws graphs). looking at last night I can see it moving and holding a reading for periods of between 4 and 10 minutes, which is probably the freezers starting, stopping, or going to defrost. This is normal overnight behaviour. I can even see when the TV goes off, and the bedsight lights, though these are very small changes.
Can you get history or usage graphs off your meter? If not you will have to watch it and look at the usage and note it down. For example you might see it change by 100W or so, which might be a fridge, or by 10W, which might be a lightbulb (vastly more if you hava an array of halogen downlights) or 300W each if you have halogen floodlights outside. Halogens are very wasteful and are not energy saving.
Some people have frost-prevention heaters in the loft or shed. I have one in the garage, but it is thermostatically controlled to come on at 5C or below, and I know it is not running at the moment.