According to Marvel, Rose named him Logan when they reached a mining camp after running away and someone first asked their names :-p

how about name Wolverine's wife :)

Let's see...

Itsu was first. He married (Lady) Viper next and then Mariko Yashida of the Yashida crime family. She is the most notable of his wives so I'm going to take a shot here and assume that this is the answer you're looking for.

I was looking for Windsong but those work as well :)

D'oh!

What did Captain America (Steve Rogers) and his men (and later the Howling Commands) call Logan as a nickname?

don't know, never read any of those with them in it :(

Rex?

Fido?

No, I got it! Lassie?

Lucky Jim.

Marvel has multiple profiles for Remy considering all the different stories.

Should I feel that I'm a disgrace to nerds everywhere for not knowing any of this?

What did Captain America (Steve Rogers) and his men (and later the Howling Commands) call Logan as a nickname?

Wolverine?