Remember when the internet would actually find the answer to a simple question? Seems like it was just a few days ago.So, since google was no help whatsoever, going from my memory.
The little lady was a showperson, billed as the smallest woman in the world. There was quite a discussion about her and her car several years ago on one of the forums. The car was specially built for her, and her chauffeur and footmen were exceptionally tall to maximize the difference in her size.
Look closely at the car in the (postcard) photo. Pay special attetion to the running board and the stairway leading up to the door into her custom compartment! All part of the "show". Vaudeville produced a lot of interesting people and acts.
Google did show a response showing the same postcard, adding that the obverse side of the card stated that the car was a Cole '40', circa about 1912. Not entirely reliable, however from my memory from the past discussion, I believe that it was a Cole.