Rare Coca Cola Bottle?

I would like help dating this bottle. I found this bottle years ago when cleaning up around an old house my Father had bought (1993) the house had stood vacant for years, it was filled with dirt and was just a mess. I wasn't expecting much of a keepsake with it being in the shape it was when I found it. I was able to get it cleaned out and off, although it took me quiet some time, only to find that it was in almost mint condition. There are no chips or cracks and very minor scratches.

In doing some research recently I found that the Natchitoches, LA is listed as one of the Rare Cities to have the bottle from. Being born and raised in LA and not that far from this city that thrilled me.

I am thinking the bottle was made in 1962, but the way they date these bottles it's hard to tell. As you can see from the photo's the bottom of the bottle has the city Nathcitoches, LA with the letter L - G in the center and the only numbers I can find on the bottle are on the side which read 62 - 10.

The bottle means a lot to me but I would really appreciate some help in dating it or verifying if my date of 1962 may be correct.