Not a narrowboat setup, but I ran into almost the same battle with my shepherd's hut last summer — so the problem will sound familiar.
The fridge was absolutely murdering my overnight reserves. Turned out I had two issues ganging up on me at once.
First, the fridge compressor was working twice as hard because I'd positioned it poorly — no airflow around the condenser coils. Moving it just 10cm from the wall made a measurable difference on my Victron BMV-712 readouts.
Second, and this is the one most people miss — battery capacity on paper versus usable capacity are very different animals. I was running a pair of 100Ah leisure batteries and assuming I had 200Ah to play with. In reality, pushing lead-acid past 50% damages them, so I effectively had 100Ah. The fridge was drawing around 4-5Ah on average through the night, which sounds modest until you factor in everything else ticking away.
Switched to a 200Ah Fogstar Drift LiFePO4 and the overnight anxiety basically vanished. Usable capacity jumps to around 80% and the voltage stays steadier, which means the fridge controller doesn't throw a fit at 3am.
On a narrowboat I'd also be asking — what's your solar situation? Running the engine for an hour in the morning helps, but in winter that's not always viable.
What battery chemistry are you currently on, and have you actually logged the overnight draw? The Victron app will show you exactly where it's all going — worth doing before spending anything.