In my MH my fridge is huge. Not sure how large your fridge is. If my fridge operated off 12 volts it would draw about 30amps i. e about 300 watts. When I am towing my toad I measured the charging current. Never got over 10 amps. Usually about 7 amps. I am not surprised you had a dead battery when you stopped in the evening. You were pulling much more from your battery than you were putting back in. I haven't seen any of those 3 way fridges recently. My TC fridge never worked very well on 12 volts. JMHO
That 15 amps seem more accurate for a TC fridge. Still taking much more out than going in.