The P-II's didn't run terribly hot, so a lot of them had passive heat sinks -- just a lot of fins and no attached fan. But when it does have a fan, you probably should have one. And they were so common that picking up a new fan that will snap in or snap on ought not to be very hard.
Get a copy of Everest Home and run it. Then read off what it says that the MB identified itself as. A huge majority of the MB's from the Slot1 era were either Intel-made or at least used an Intel Chipset. The 440BX is supposed to be decent, and also was one of the chip sets that supposedly could be used with a wide range of cpu's.
But I had one of those, and it gave me unmitigated Hades trying to game with it. Maybe if all I'd ever done with it was run Spreadsheets and Word Processing, I'd have liked it better! I stripped it down a couple of years back and put all its hardware in a Socket A box. Much more recently, I handed off the empty shell to a nephew to play with. It did have a fairly nice-looking case.
:beer: