I've made building computers something of a small hobby, so there's actually a few:
My "main" computer is named Pres (short for Presario), pronounced like the first part of Priscilla.
About a year ago, I built a small Linux (flavor: Mint) computer named Sophia.
For Christmas, I built my roommate a gaming rig (financed by her very generous brother) named Big Blue. Before Big Blue, my roommate was using a former friend's computer which I dubbed Big Black, now presently in pieces under my desk as the case was defective and I haven't decided whether to buy a new case or just upgrade Pres with Black's motherboard. I mean, Pres was new in 2004, cannot run Trine even on the lowest settings, and I'd really like to play Singularity, so I'm definitely going to be making a decision on that very soon.