Sometimes determining which box goes with which doll can be a bit confusing. Below should help clear up your questions! You can find these boxes pictured on the pages with the dolls as well.
Here is the box that is referred to as the Gay Parisienne box because it has the picture of the #964 Gay Parisienne outfit from 1959. This is the box they used for the Ponytail #1 through #5 from 1959 through 1961. It was also used for the early Bubblecut Barbies from 1961. The boxes with the ™ symbol by the Word Barbie on the front of the box were used for the earliest dolls #1-#3. The #4's and #5's had an ® symbol by the word Barbie on the front of the box. Some later #3's also came in the ® box
Here is a look at two rare pink silhouette boxes. Notice they have the same pictures but rearranged a bit differently. One is a T.M. version and the other is an ® box. Dressed dolls were sent in these boxes to retailers to use as display dolls to help boost their store sales.
1962 release date box. This is used for the ponytail #6 and later dolls including the Swirl Ponytail and the 1962 and later Bubblecuts.
1964 Dressed Doll Box
#3 Ponytail T.M. box (Some later boxes had the ® symbol)
#1 & #2 Ponytail box: Notice the sticker with the hair color.
1962 and later Boxes
#4 and #5 Ponytail
See the TM Symbol by the word "Barbie"
#3 Ponytail Pink Silhouette ® box
Swirls and #6 (& later) ponytails used the same boxes.
These rare boxes that are marked "sample" will often have a doll dressed in a prototype outfit.