This is excellent advice, and gives me far better undstanding of what is going on and how to track it down. So far, the problem has not recurred, so it is not possible to report results - yet. But in my experience this is just the first sign of an existing problem. A little more info: the battery was brand new and all the connections were thoroughly cleaned, sprayed with contact cleaner, cleaned again and sprayed with Inox, a waterproof lubricant and protector after the connection was made to the terminals. I'm confident the problem is not at the battery. Because I could jump the solenoid and start the motor, but could not get the slightest click by turning the key, I'm suspecting the positive feed to the switch. the boat sits a lot, often six months between uses, but is going to be used quite a bit overr the next 3 months as I loan it to friends and clients who visit this time of year to see and swim with manatees (i'm in Homosassa Florida.) There's a chance the problem will not show up until next season, though it is troubling that it was running fine one day, then not, then fine again two days later. The only thing that happened between not working and working is that it got towed one block over a semi rough road to a boat ramp. That trip could have jolted the bad connection. thanks to everyone. i'm pretty sure now that I can find the problem next time around and will post the results here.
terry