This work presents a Rydberg-atom-based Loran-C receiver designed to overcome long-standing limitations of traditional systems, including low sensitivity and large size. In the proposed design, a reference electrode couples the low-frequency Loran-C signal into an atomic vapor cell equipped with integrated parallel plates; an auxiliary DC bias field is applied to optimize this coupling. By utilizing electromagnetically induced transparency (EIT) and Stark effect, the receiver can directly, sensitively measure the amplitude and phase of the electric field. An FPGA-based acquisition stage and an MATLAB signal-processing pipeline are implemented to perform ground-wave/sky-wave discrimination, time-difference-of-arrival (TDOA) estimation, position fixing, and timing recovery. Experimental results confirm that the Rydberg-atom-based receiver successfully provides both positioning and timing capabilities. These findings demonstrate that Rydberg-atom sensors can significantly enhance the sensitivity and dynamic range of Loran-C systems at low frequencies, thereby establishing a quantum-sensing pathway toward the next-generation, high-reliability navigation and timing architectures.