A search was conducted at copyright.gov using the company's name, Fleer. The search revealed no renewals of any of the company's cards-only registrations of their more current sports ones. There is no evidence the company continues to claim on this material.
Note that it may still be copyrighted in jurisdictions that do not apply the rule of the shorter term for US works (depending on the date of the author's death), such as Canada (70 years p.m.a.), Mainland China (50 years p.m.a., not Hong Kong or Macao), Germany (70 years p.m.a.), Mexico (100 years p.m.a.), Switzerland (70 years p.m.a.), and other countries with individual treaties.
{{Information |Description=Trading card photo of The Poni-Tails. In 1960, Fleer gum cards issued a series of recording stars. They were part of their recording stars cards. |Source=[http://www.ebay.com/itm/1960-Fleer-Spins-And-Needles-The-Poni-Tails-2...