In this work we report the observation of polyatomic high-Rydberg molecules which survive for several hundred microseconds. Methane and ethane were excited by electron impact to produce high-Rydberg states of their fragments: CH3 from methane and CH3, C2H4, and C2H5 from ethane. These identifications are proven by measurements of threshold energies and by comparisons to fragmentation patterns for dissociative ionization. Sharp threshold peaks in the excitation functions show the occurrence of direct high-l excitation. The absence of parent CH4 or C2H6 in high-Rydberg states remains unexplained, but may be related to a strong interaction between the Rydberg electron and the core.