Found It

HalleyGirl

The Children's Corner.  It is a nice, clean consignment shop for infants and up.  The owner is very particular what she will take.  You will find upscale European clothes and more casual Gap type clothing.  Definitely worth the visit. 

299 Newton Street Waltham MA 02453

https://www.bostoncentral.com/shopping/baby_gear/p12.php

MelRoy

Thanks for posting this!  I will definitely check it out.