The names I give to my beers fall under the following categories.
Recipes that come from an LHBS, or a fellow brewer, I don't change the name.
I will rename a recipe though if I have altered it, and or if there is some significant spontaneous event or person that occurs.
Here are a few...
"Bloody Finger" Cranberry Chocolate Stout was a recipe that I found here by Richard McAteer here on BF.
I did make a number of modifications and did some experiments to determine how much chocolate, cramberry, and vanilla to add.
The name "Bloody Finger" however came from the "incident" that happened on brew day when I lost a good portion of the pad of my right index finger...
Cit Ruby Cit American IPA was a recipe that I got from my LHBS, except I started making a number of changes, one of which was to add two ounces of Citra hops to the fermenter. I was holding up 2 one ounce pouches of Citra hops, and Ruby must have thought they were treats as she immediately sat without being asked!
Cragunitas American IPA was a Lagunitas clone recipe. First time I brewed it I was half in the bag. By the time I got to the boil it seemed only logical that I double all of the hop additions! Drunker = smarter, right! The next morning I thought, crap, I probably ruined it, but it turned out so well that I have brewed it several times since, including this past March. Seemed only logical to name it Cragunitas