“Wildlife crime officers” from South Yorkshire Police and members of the UK National Wildlife Crime Unit searched the house on Gleadless Road on Monday and made the discovery.
The 28-year-old was arrested on suspicion of prohibited sale of a protected species and evading export restrictions, contrary to the Customs and Excise Management Act 1979.
The warrant was carried out as part of an ongoing investigation into the illegal trade in tiger derivatives, including teeth and claws, on the internet. The woman has been released on bail pending further enquiries.
Chf Supt David Hartley, District Commander for Sheffield and force Wildlife Crime Coordinator, said: “This has seen national specialists and local Wildlife Crime Officers coming together to tackle crimes of international importance.
“We are committed to robustly tackling such crimes and doing our part to protect endangered species whether in the UK or from around the world.”
Andy McWilliam of the National Wildlife Crime Unit added: “The trade in endangered species such as tiger is strictly controlled across the globe. Tackling illegal trade in tiger and its derivatives is one of the UK Wildlife Crime Unit’s priorities.
“There is no doubt that there is a market for such products and some people are prepared to feed the demand. We will continue to gather intelligence and target individuals we suspect are involved in the illegal trade of protected species.”