Oh

 D'Von

I'm gonna come up with a unique name

 That want frighten the person on the phone who you want a job with 

I'm gonna come up with a unique name

 That want for sure get your resume thrown in the trash 

That you

 Should name your children 

I'm gonna come

 Up with a real unique name in today's world 

Or you have a

 Unique name 

If your name is

 Unique 

Devon

 With a hyphen 

Her middle name

 Devon

But

 Hey 

I thought that was pretty

 Corny