The correct answer is option 1: Thomas Savery. He built a model Steam engine in 1698 called "Miner`s Friend" that was used to drain mines.

Option 2, Thomas Newcomen, is not the correct answer. While he did develop a steam engine in the early 18th century, known as the Newcomen engine, it was primarily used for pumping water out of mines and not specifically referred to as the "Miner`s Friend."

Option 3, James Watt, is also not the correct answer. James Watt is often credited with significant improvements to the steam engine, including a separate condenser and a rotary motion, which greatly increased its efficiency. However, his contributions came later in the 18th century and were not related to the specific engine named "Miner`s Friend."

Option 4, Richard Arkwright, is unrelated to the development of steam engines. He is known for his inventions in the textile industry, particularly the spinning frame, which played a crucial role in the Industrial Revolution.

Therefore, the correct answer is Thomas Savery, who built the "Miner`s Friend" model steam engine in 1698.