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30737 would make it a 1962 16' model.
https://www.whalercentral.com/viewpag...age_id=179

Have you looked at the Eastport drawing I showed you above?
The seat has 3 pieces of wood and the back has 1 piece so what you have is not original to your boat.

You apparently have a 1962 Nauset 16'
I can add you to this list if you are interested.
https://www.whalercentral.com/article...cle_id=102

The only way you can verify what my research tells us, is call Boston Whaler and give them your stencil number and they most likely will be able to tell you what the model it was when it was shipped from the factory and the date. They obviously cannot tell us what model it is now because too many years and too many people change the original interior layout.

Otherwise, I stand by my factual research. 1962 Nauset 16'

Thanks for letting us know the Stencil number and why it was in the Bow Locker according to the link I gave you above.
Enjoy that well preserved Whaler.