The story as listed on the LIFE site is:
This Year's Model
In the early 1940s, a woman in Washington, DC, adopted a squirrel after she found the critter orphaned in a tree. The squirrel, dubbed Tommy Tucker by the family -- of which he soon became a part -- accompanied the lady of the house on shopping trips, visits to the local children's hospital, and the like. She also, it turned out, enjoyed dressing him up in specially made outfits. And so it begins ...
Who wants a pet squirrel?!?