Really, really bad idea. If you get the polarity backwards or there's too much amperage coming from the adapter, it'll fry the motherboard and brick the laptop.
On-topic: I don't think it'll run it. It shouldn't even be able to run Windows XP, since you're looking at a max of 160MB of RAM (XP's recommended specs were 256MB). There's no way it'll have enough spare memory to compensate for the weak graphic chipset.
Getting the polarity right is pretty easy since it should be plainly marked, getting the amperage and right wattage out of the power supply is more difficult but if you can find a spec sheet for the laptop you could buy an equivalent adapter off ebay or amazon. If the polarity is backwards or the barrel plug doesn't fit you could solder the cable straight into the computer but it would be a much better idea to buy a spare barrel plug and cut and strip the cable on the power supply side, slip some heat shrink over the wires, solder them, then heat shrink and cover with electrical tape for good measure. It's not necessarily the safest or best method but it's not a horrible idea. We use it all the time in our lab since we've got a limited budget, a shortage of universal adapters, and a surplus of bench-top power supplies and assorted adapters. Of course, this requires you to have an adapter, spare barrel plug, soldering iron, solder, and heat shrink. A cheap soldering iron that would do the job, solder, and heat shrink would probably cost around $15 - $20. A barrel plug might be the most expensive thing on the list, surprisingly, since you need a larger one that is rated for the 3 or 4 amps the power supply puts out.
Of course, if you can buy the right adapter in the first place, it's much easier.
On topic though, this computer obviously won't run Blockland. Actually, this is a very interesting problem that you run into a lot with big institutions and companies. Back when they bought these computers, XP was brand new and they ran it fine. But as the service packs and fancy anti-virus programs came out, the minimum specs for Windows XP actually increased. With automatic updates and an anti-virus program mandated by the institution... You can see where this is going. Basically you end up with hundreds of useless computers that can't even run the OS they were designed for because they're outside the minimum specs of the OS!
But these computers aren't useless - especially if they have serial ports on them. It's hard, possibly impossible, to get a new laptop with with serial ports. This probably isn't super important for most consumers, but it actually is really useful for some unique cases, especially since there are some really crappy USB-Serial cables out there.
On the consumer side, it's not useless either. If you format the computer and put an OS with much lower system requirements, say lubuntu or puppy linux, you could use it as a dedicated computer to access the Internet. Put it in your kitchen and use it to look up recipies instead of keeping around a bunch of cookbooks, hook it up to some speakers and play music over spotify or pandora or something for a free dedicated Internet radio, hang it on your wall for a really cool clock/calendar/weather radar, whatever. The cool thing about computers like this is that they're great for single purpose computers for pretty much any project you can think of, and you can get them off ebay for $30-60.
