Our little granddaughter got burned

My two-year-old granddaughter lives with my hubby and myself, along with our 22-year-old son, her dad, who has full custody of her ( her mom gets overnight visits every other Saturday). A little over a week ago, when she was at her mother's, she got burned on their electric cooktop stove. The entire surface of the back of her left hand is burned with second degree burns. Her stepfather was holding her while cleaning up in the kitchen and leaned over the stove to put something in the cupboard when her heard her say "Ow...Ow...OW!" He looked down and saw that she had burned her hand on the burner that had been left on. We're trying to care for her at home here, changing her bandages twice a day, taking her to the burn center twice a week. Today it was determined that she required skin graft surgery, and that it is scheduled to be done in four days.
I'm wondering if anyone on these boards has had an occasion where skin grafting has been done on a child. I know that the donor site will be in an inconspicuous place on her body, but I also know that sometimes the donor skin is put into a machine that creates a "mesh" out of the skin and then that is applied to the prepared burn area. I've heard that this type of graft can leave a scaly appearance when it has fully healed. I guess I'm thinking years ahead, but I just want her to have as normal a hand as possible.
I'd appreciate any information that you all may have.