We measured the magnetic specific heat of two quasi-two-dimensional (2-D), XY helimagnets, BaCo2 (AsO4)2 and BaCo2(PO4)2. At temperatures T < 2 K, C is proportional to T2 as expected from spin wave theory. At higher temperatures C has an exponential form characteristic of a potential barrier. The specific heat of BaCo2 (AsO4)2 exhibits a sharp anomaly at TN = 5.29 K whereas only a bump is observed around 5.5 K in BaCo2(PO4)2.