Per the Winchester Repeating Fire Arms letter the serial number was applied to the on July 22, 1898; Caliber: N; received in warehouse on August 12, 1898 and shipped from warehouse on August 20, 1898; Order number 2689. It just missed the Spanish-American War but may have served during the Relief of the Foreign Legations in Peking during the Boxer Rebellion in 1900 or during the Philippine Insurrection 1899-1902. I'll have to see if I can track down the USN or USMC ship/unit which eventually received this rifle.
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Ray; thanks for the photos of your accoutrements; I'll keep looking for some for my rifle.