Five years ago, after her parents had died, she found it while going through her parents' possessions.
She is seemingly concerned that the government might attempt to come after her-NASA has previously taken the legal position that "private persons can not own lunar material", and has criminally investigated people claiming to sell such lunar material or otherwise tried to seize such artifacts.
And sometime in the 1970s, when Armstrong was an aerospace engineering professor at the University of Cincinnati and the Murray family was living in the city, the astronaut gave the vial of moon dust to his friend's little girl.
It's common knowledge that mankind has caused the dramatic warming of the Earth - nobody besides conspiracy nuts and politicians looking for contributions from energy lobbyists actually bothers to dispute this anymore - but it looks like humans managed to extend our world-warming habits to the moon as well.
"If you look at the Davis case, what Nasa is essentially saying is that lunar material in private hands is stolen property".
In court filings, McHugh wrote that Cicco's lunar sample has been moved to and undisclosed location in Kansas, while she continues to live in Tennessee-likely because there is now a legal precedent in this particular judicial district. "Lunar material is not contraband". An accompanying note from Armstrong says, "To Laura Ann Murray - Best of Luck - Neil Armstrong Apollo 11".
A spokeswoman for Nasa declined to comment on the lawsuit or clarify their position on private ownership of lunar material.
A woman who claims to own a small vial of lunar dust that she says was given to her as a child by Neil Armstrong has now sued NASA. "It is not illegal to own or possess". "Neil Armstrong wouldn't have had authority to give the moon rock away".
A 2012 law states that astronauts control any items they bring back from space, except lunar material, the newspaper reported.
Cicco's lawsuit cited another case where NASA seized lunar mementoes from an elderly California woman which was gifted to her by her late husband and an Apollo programme engineer.
Ms Davis and her new husband met the "buyer" at a Denny's Restaurant, only to discover it was a sting operation lead by Nasa's Inspector General.
The federal agents believed the 74-year-old had stolen the artefacts (she was never charged and successfully sued the agents).
Because the bag was auctioned off accidentally by the government, a court eventually ruled after a protracted legal battle that Nasa could not have it back. "Lunar samples are the property of the United States Government", the handbook states, "and it is NASA's policy that lunar sample materials will be used only for authorized purposes".
Of the 270 lunar samples given as gifts by the U.S. to foreign governments, about 150 are missing and many are presumed to have been sold on the black market.
Last week, Cicco sued Nasa to make sure she can keep what is "rightfully" hers. Her attorney said it's been kept for safekeeping. "I'm just really excited for him".