Reserve a few sprigs of thyme for decoration and place the rest into a medium saucepan. Muddle with a wooden spoon to release oils. Add ⅔ of the ginger and smash it with the back of a spoon. Add water and bring to a boil over medium heat. Reduce heat to a simmer and let simmer for 1 minute. Remove from heat, cover and let cool to a room temperature.
Combine peaches, remaining ginger, lemon juice and honey in a blender, blend until smooth. Strain puree through a fine mesh strainer over a pitcher or bowl. Pour the ginger and thyme-infused water through a strainer into the puree, discard cooked thyme and ginger. Stir to combine. Chill well and serve over ice as a lemonade or make popsicles.
Fill the popsicles molds with the lemonade, ½ mold at a time. Add peach slices and thyme sprigs, if desired, then fill the rest, making sure to leave some room for expansion. Cover with the lid and insert soaked wooden sticks. Place into the freezer and let freeze completely. Briefly run molds under hot water before removing popsicles.
Recipe by Golubka Kitchen at https://golubkakitchen.com/peach-honey-and-thyme-lemonade-popsicles/