Your problem sounds like an electrical problem. Electrical problems for small boats like a Boston Whaler 190 MONTAUK are discussed in the SMALL BOAT ELECTRICAL forum. For advice on diagnosing problems with electrically-operated pumps, see an existing thread on that topic in SMALL BOAT ELECTRICAL. See
Diagnosis of Electric Pump Failure to Runviewtopic.php?f=9&t=1861You are welcome to join that discussion to pursue the topic of how to diagnose the electrical problem with the boat's sump pump.
I don't have knowledge of the location of "the fuse" on a 190 MONTAUK. I would expect there would be many fuses or circuit breakers, as each branch circuit from the secondary power distribution panel that operates a particular circuit or load will have an over-current protection device.
The best way to obtain information about electrical wiring on Boston Whaler boats as they left the factory is from the Boston Whaler support website. There is a concurrent discussion in THE GAM about how to use that website to locate information. See
Using Boston Whaler's Support Websitehttp://continuouswave.com/forum/viewtopic.php?f=4&t=1863For example, I can retrieve at no cost and with a few clicks the wiring diagram for a 2013 190 MONTAUK from
http://bostonwhaler.com.s3.amazonaws.com/resources/190-Montauk-Wiring-Diagram-2013.pdfBy reading the wiring diagram I infer that the sump pump power is provided by a 5-Ampere fuse or circuit breaker, and, based on how that component is shown enclosed in a box with the legend BREAKER BOX, I infer the location is within some sort of enclosure called the breaker box. That drawing is not the clearest diagram I have ever read. I would guess the breaker box is probably located near to the battery and the primary power ON-OFF switch. I would also guess that if the battery is located inside the helm console, that is where the breaker box will be.
Also confusing on that drawing is the omission of the actual "main breaker" being shown in the wiring.
I also located the owner's manual for the 2013 190 MONTAUK. On page 3-1 the manual advises in bold type and in a separate text box:
NOTICE
The bilge pump is wired directly to the battery.....
I suspect that this is not quite true, and there is a fuse between the pump and the battery, as shown in the wiring diagram.
Also, as the boat was built at the factory the electrical control for the sump pump is shown as a CONTURA rocker switch with illumination. Since your boat appears to have "a button" I would infer that perhaps someone has completely re-wired the sump pump circuit and replaced the original CONTURA illuminated rocker switch with some sort of push-button switch. Proceed with caution if that is the case. There is no way to know what wiring exists if the boat has been so substantially changed since it was initially built.