First date

Looking at the order of the words, do I rightly understand it to be a just-married couple previously courting? Hard to imagine no dating before a wedding ceremony except perhaps in the case of arranged marriages.

I do like your interpretation, but my interpretation is different.  I wrote this poem because I hoped people would have their own interpretation and would find something in it for themselves.      
 
To me this poem means:    
 
When my life comes to an end there will be a list of women I will remember who have been there at important moments of my life.    
 
Unfortunately those relationships didn't last forever.  Most people don't get to marry their one and only (first) love.  
 
My first wife will not be my first kiss...  
 
"He's the man who loves women.  
Women, women, women.  
He's the man who loves women  
And falling in love everyday.    
 
Falling in love's just his way.    
 
Babe, babe, babe, babe, babe, babe, I love you."  



Tom Petty and The Heartbreakers - The man who loves women

Solomon_Song's and Yours, AaHarvey, interpretations have merit

Interesting.

Appreciate You sharing what this means when You spilled the ink