You'd almost certainly see random movement. The more unpredictable you are, the harder it would be to make an accurate shot. Varying speed would also make calculations difficult.
That said, I often shoot at zig-zagging ships. It's not that difficult to do with a little observation.
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Largest target sunk with deck gun: Japanese auxiliary cruiser, 15000 tons
Largest engaged: HMS Nelson. Results inconclusive.
Read Brag's stuff 
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