As both 4 year olds have short names I was able to applique them onto the front of their bag.
I always have a stash of 2.5" squares, fusible webbing and suitable pieces of fabric for linings and handles so everything was to hand to make the bags.
Here they are:
Little granddaughter was very pleased with them. Nice and colourful and just right to hold a 4 year old's treasures.