I have been working on the Naramore line for a gentleman, Robert Naramore. He is related thru Harold Beers Naramore.
Anyway in my search I ran across the town records of Goshen, MA that is on the internet.In the transcription it relates that Alpheus Naramore was the Capt. of the local Artillery Company and held that post until his death in 1806.
Another record that I came across nailed down the date to :1 May 1806