There are several models it could be: a Boulton, a Dorsey, a Watson, etc. It all just depends on when the watch was made. I personally think it's a mid 30s Cameron, mostly based off of it taking female spring bars. I am also willing to bet that it has a 19 jewel 982 under the hood. It should be a snap back, and will likely have the model inside the caseback. Also using the serial number you can look it up on the pocket watch database, they have Hamilton's old records and usually can pin down wrist watches as well as pocket watches.
https://pocketwatchdatabase.com/