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There are only two possibilities for the water leak in the 1993 Mercury Marquis. The car could have a leak allowing rain water in. Or, the drain for the ac could be stopped, and condensation is leaking into the car. The condensation is your most likely cause.
water in passenger floorboard, where is the hose that would cause this?
A water leak from the radiator in to the passenger compartment is usually a sign of a leak in the heater core. If the water is not from the radiator then there may be a leak in a window or door seal, or a hole in the undercarriage that is allowing water from the road to soak the carpet..
If that water is engine coolant, the heater core is leaking.
Sunroof drains are clogged.
Probably have a leak in the heater core>
You tape it up with duct tape dhuuu!
There is a condition called cupping where the edges of the boards are higher than the center. It's usually caused by the boards absorbing moisture. If your floorboards are cupping, look for somewhere that moisture is getting under the floorboards. Possibly a leak.
One reason your floorboard is wet after it rains is that there may be rust holes in the floor or the floor pans are rusted out. A leak in the windshield seal may also be the cause of wet floorboards. Bad door seals or window seals can allow water to soak the floorboards when it rains.
Are you running the air conditioner? If the drain line is plugged, it will leak water (condensation) onto the passenger side floor.
There is obviously a leak in either the firewall/cowl area or the window seal.
A damaged heater core will cause coolant or water to leak onto the passenger floorboard.