[chesterbeatdeath]

Some might be surprised at the amount of people rocking ten year old netbooks that are still running just fine.
On the daily I flip at least one Intel Atom 1.6GHz /w 1-4GB RAM and no CD-ROM drive.
That last part is fun because people have to come back and pay me in order to reinstall/repair Windows when they break something. (Normal users always break something. Always.)

Nice.

I have an old Compaq Presario laptop from the mid-90s, with Windows 95 locked away In my cupboard. From memory, It has a 500MB HDD and (I believe) 4MB of Ram. Apart from taking 5 minutes to boot up, It's actually fully functional and almost In mint condition.

Sounds like you can run Civ. Don't see any problem.