I never thought of naming mine until a rather curious incident that happened several years ago....
...I was driving home from work one hot summer afternoon, and traffic was a hopeless snarl. I was thinking "damn, I could use a beer right now." I saw this little bar on the corner I'd never been in before. So I parked the car and went in.
It didn't take me long to realize why I'd never been in this particular bar before, because as it turns out, it's a gay bar. Now I'm not gay, but neither am I homophobic. I wanted a beer and I was going to get a beer, dammit. So I asked the bartender.
"Bartender, can I get a Sierra?"
"Sure, but first, what's the name of your penis?" the bartender asked.
"Excuse me??" I responded incredulous.
"You heard me." he said. "I asked you what the name of your penis is."
Unsure of what he meant, I just stared stupidly at him for a moment.
"Look," he says confidentially. "Everybody who comes here has a name for their penis." He then called to one of the other guys at the bar. "Charlie. Tell this guy the name of your penis."
Charlie grins and says, "My penis is named FORD," he says proudly, then adds, "Built FORD tough!" with a wink.
The bartender calls to one of the other patrons, "Hey Tim! Tell this new guy here the name of your penis."
Tim says, "The name of my penis is TIMEX. You know, 'Takes a lickin and keeps on tickin,'" he says with the perfunctary wink.
The bartender looks back at me. "So you see? Before I can serve you a beer, you've got to have a name for your penis."
I thought for a moment and then I told him, "All right. The name of my penis is SECRET," I declared solemnly.
"SECRET??" exclaimed Charlie, Tim, and the bartender in unison.
"That's right. SECRET," I told them. "Strong enough for a man, but made for a woman!"