To answer this question, we need to have some knowledge about the history of oil drilling.

The correct answer is B. Edwin Drake.

Explanation:

A. John Dalton: John Dalton was an English chemist and physicist who is best known for his work on modern atomic theory. He did not have any involvement in drilling for oil.

B. Edwin Drake: Edwin Drake is widely recognized as the first person to successfully drill for oil beneath the Earth's surface. In 1859, he drilled the first commercial oil well in Titusville, Pennsylvania, USA. This event marked the beginning of the modern oil industry.

C. Alfred Wegener: Alfred Wegener was a German meteorologist and geophysicist who is best known for his theory of continental drift. His contributions were related to plate tectonics and the movement of Earth's continents, not oil drilling.

D. Justus Von Liebig: Justus Von Liebig was a German chemist who made significant contributions to the field of organic chemistry. He is known for his work on nitrogen-based fertilizers, not oil drilling.

Therefore, the correct answer is B. Edwin Drake.