A gaseous time-projection chamber (TPC) based on a low-alpha emitting $\mu$-PIC was developed to measure alpha emissivity from the surface of the material used in the detector such as searching dark matter and neutrinoless double beta decay events. The main background of the current screening is events with the radon emitting alpha particles. Low-pressure tetrafluoromethane gas which is filled in the TPC emits light simultaneously with the time when alpha deposits energy in the gas and the ionized electrons cascade on the anode electrode. The position along the drift direction for the alpha particle can be determined by detecting the first and second scintillation light. In this work, we measured the electron drift velocity as a function of the electric field, length, and gas pressure by the detection of these scintillation lights as the demonstration of discrimination with the alpha emission from the sample surface and radon. Then, we performed to evaluate the detection efficiency of the first scintillation light to be $\sim$20\% for a PMT and to measure the alpha emissivity of a sample as a demonstration using $\mu$-PIC and PMTs.