Your character is able to pick up a Fireplace Kit with any number of Stones still attached to it, as well as other 1x1 items. While still taking up 4 slots in your Inventory, the Fireplace Kit can have up to 8 Stones attached to it at any time, and up to five 1x1 items.
This allows a character to deploy a Fireplace with all the Stones in it, without needing to harvest them after placing the Fireplace Kit on the ground.