PHILADELPHIA (CBS) — The 10-year-old Delaware County girl who underwent a double lung transplant one week ago has taken a big step toward recovery according to a message posted on Facebook by her mother.

Sarah Murnaghan, of Newtown Square, Pa., underwent successful double lung transplant June 12th at the Children’s Hospital of Philadelphia. (See Related Story)

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In a message posted on Facebook Wednesday afternoon, Janet Murnaghan provided an update on her daughter’s recovery.

“Great update: Sarah was able to move from an oscillator (type of vent) to a traditional ventilator. This is a big step towards being able to wake her. Few more hurtles to make but my heart is so full of joy and thanks!”

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Following the surgery, Sarah’s family said the six-hour surgery went smoothly and Sarah did extremely well.

READ: Full Coverage Of Sarah’s Journey

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