The non-instrument rated private pilot completed a 1.3-hour dark night cross-country flight. Two witnesses reported observing the airplane attempting to execute an apparent "go-around" on runway 13, which was 5,100 feet in length. The two witnesses observed that the aircraft made a right turn near mid-field, followed by the nose of the airplane dropping towards the ground. Evidence at the site showed that the airplane impacted the ground in a nose low attitude and a post impact fire ensued. Flight control continuity was established. No anomalies were found with the airframe or engine during examination. Ground scars corresponding to the main landing gear tires for the airplane were found 1,266 feet short of the landing threshold for runway 13. Additionally, five light poles were found knocked down short of the landing threshold. The aforementioned physical evidence shows that the airplane had apparently landed short of runway 13, impacted the approach lighting system, executed a go-around, and subsequently impacted the ground.