Watch Model: Elgin National Watch Company (619485?)
Movement Serial Number: Elgin National Watch Company 8739946
Mass: 58.3g
Case Outer diameter: 42.0mm
Crystal diameter:
Thickness: 11.7mm
Movement Dimensions:
https://pocketwatchdatabase.com/search/result/elgin/8739946
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Mainspring
Width: 1.85mm
Length: ~450mm (~18 inches)
Thickness: 0.18mm
Apparently it’s Elgin #824.