According to the Waltham database, your watch is a model 1883, grade 84, 15-jewel, open face pocket watch, size 18 (men's watch), unadjusted, with a Breguet spring balance. The manufacture date is 1898.
The value of the watch depends largely on the metal composition, appearance and condition, which was omitted from the question; however, "grade 84 unadjusted" indicates the movement was utility quality, and likely has a metal alloy, brass or plated case.
Comparable Waltham watches have been appraised at $100-$300, and have been selling at live auction anywhere from $60-$210.
[December 2010]
American Waltham pocket watch serial number 8017000
waltham pocket watchserial number 13290396
$ 600.00
serial #9019268, #1 oresilver, 15 jewel pocket watch, american waltham watch co.
$200-$300
20 to about 200 depending on condition and case
I just bought a 1925 Waltham Pocket Watch with the word Salem underneath Waltham. I don't know if it is a fake. How much did you pay?
Less then mine 1890 waltham pocket wath . Serialnr 4707827. I paid 125,-eu for only the wath in mint condition
7244609
Wadsworth reference quality 15 jewels3adj.
it as a flower engraving on back
An American Waltham sold on eBay for 349.00