Pocket Watch Database

We noticed that you entered a relatively short serial number.
"1660" could possibly indicate the grade of the watch and not the serial number of your movement. Serial numbers are usually more than a few digits.
From the American Horology Archive:
Cheshire Watch Co. Grade The Cheshire Pocket Watch

Cheshire Watch Co.

Grade: The Cheshire

Manufacturer: Cheshire Watch Co. Question Mark
Manufacturer Location: Cheshire, Connecticut Question Mark
Movement Serial Number: 1660 Question Mark
Grade: The Cheshire Question Mark
Model: Series 1 Question Mark
Estimated Production Year: 1885 Question Mark
Run Quantity: 3,800 Question Mark
Grade/Model Run: 1 of 5 Question Mark
Grade/Model Total Production: 9,300 Question Mark
Size: 20s Question Mark
Jewels: 4j Question Mark
Movement Configuration: Hunting Question Mark
Movement Finish: Gilt Question Mark
Movement Setting: Pendant Question Mark
Regulator: Plain Question Mark
Hairspring: Flat Question Mark
Railroad Grade: No Question Mark
Movement Markings: Cheshire Watch Co.
Patented
Cheshire, Conn.
Case: Various Question Mark
Run ID: 1.G1.20S1.M1.H1.P1.4J1 Question Mark
Database Version: v52.431 Question Mark
Advanced Metrics
PWDB Absolute Rarity Index:
Scoped for Grade/Size/Model/Configuration
28.00 Question Mark
PWDB Relative Rarity Index:
Rarity within Manufacturer - Scoped for Grade/Size/Model/Configuration
97.87 Question Mark
Share of Production:
Share within Manufacturer - Scoped for Grade/Size/Model/Configuration
12.585% Question Mark
Registry Population:
Scoped for This Run Only
2 (0.05%) Question Mark

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Cheshire Watch Co. Grade The Cheshire Pocket Watch