On power washer cars, a little motor is found at the base of the washer fluid bottle, mounted to the radiator support, to the passenger side of the radiator. I think the hole in the cowl is there, even on power washer cars. The hole is located up high, up where the master cylinder is located, to the far left, next to the hood hinge. The hole is pretty large, compared to others, to accommodate the foot pump, close to two inches diameter.
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The manual washer pump, is foot operated by left foot. The hose(s) run from the foot pump, across the cowl following the same route as the wiring harness(es) to the passenger side, the forward over the inner fender well to the washer bottle.
From the washer bottle, the hose runs back over the passenger side inner fender well, back across the cowl towards the master cylinder. It turns upward to supply the driver side squirter, or into a TEE, I forgert, precisely, but a hose then runs over the passenger side squirter.
The squirters mount to the under side of the hood, near the vent opening at the rear. They poke through the vent, and when the hood is closed, they are aiming right at the windshield. If you cannot see the screw holes that mounted the squirters, others will chime in and provide more detail. I don't have access to a setup I can review, for the next week.