My plans at the moment:

Stockholm - Hunting Rifle

Long Jimmy - some sort of scoped Hunting Rifle or Laser weapon

Deschain - Laser Musket

Desperado - Revolver

I haven't given much thought about this yet, but if I'm gonna name a flamethrower it would be: Granny Bacon.

Ah you can name modded weapons? I did not see that before. Hmm, I do not mind, but I am advocating the dozens of unique weapons we will find in Fallout 4 in other threads, weapons that always had a story behind them in the predecessors like Jesus Mordino's switchblade or This machine, stuff that reminded you of certain quests. Or weapons like Oh, baby, the supersledge found on a dead nightkin in the Charleston Cave, which made you wonder what happened, there. I hope the fact that you can name your everyday weapons does not hurt the unique weapons you can find.

I have a few names picked out:

-Death March
-He Hate Me
-Silvia (based on my actual M16 weapon issued when I deployed to Afghanistan)

I'm sure those will still be around. Bethesda's let us rename enchanted items in every Elder Scrolls game, and that didn't stop them from including unique enchanted items there.

Now here's an idea given how modded some of these weapons are... maybe we won't have unique weapons but unique mods. So say its a focusing crystal that makes the "wazer wifle" the "wazer wifle" You can then use that component on a different laser weapon.

The Spanky Spoon.

That's how I was disciplined in the 80s. So I'll do the same to mutants and raiders.

I love Vyvexthorne's Kathy Bates!

if we get a callahan full bore auto-lock, i'll name her vera.

I am going to name my plasma rifle Hawk Eye

I'm kinda loving The Spanking Spoon.

er...why does saying that make me feel kinda dirty?

I'm hoping there's a suitably western looking pistol I can name The Duke.

A lead pipe called "The Lead Pipe of Bashing Faces in"

I'm going to make a fully automatic laser shotgun and name it Shazam.

Mr. 44 for a handgun
Death from above for a sniper rifle

Ohh you could also name a weapon after your lost spouse/child.

im a pistol guy

my revolver will be called Final Argument

Generally, I make these things up as I go. I have no idea what kind of person I'll play as, and I name weapons based on how they'd name their weapons.

I also named weapons for a few of my other characters, both in Fallout and other series. I may reuse some of those, more as homage than anything unless I can recreate some of them. For example..

'Ebonshard' is the go-to if it lets me make an electrified spear. Was my main character's signature weapon in Morrowind; an ebony spear with a shock enchantment. He ended so many things with that. If it offers the right design (and has swords, of course), my old ES RP main had a short sword she called 'River's Edge'.

'Love Hurts' was my Courier's .50 sniper in New Vegas in personal canon. If I can make one that fits her specs, I'll call it an artifact. Likewise, 'Sanction' was my 'good' FO3 character's Hunting Rifle, held together only by salvage. I know I can remake that one.

I will name my pistol Jade

and my Sniper Alyssa

I'm horrible at naming things... They usually end up as: Test, test1, test3, getting testy... Herpy and Derpy probably...

Ol' Painless

a la Blain's minigun from Predator!

Ezekiel 25:17

Well if it's a bladed weapon then 'Mr. Stabby' or 'Miss Stabby'. If it's a rifle then 'McShootThemAll'

I'm gonna get a Ripper, and call it Jack.

The Flash because that is all they will see before they are dead on the ground.

A pair of brass knuckles. One named Love and the other named Hate.