Martha faced patent infringement lawsuits from competitors who attempted to copy her flare designs. She vigorously defended her intellectual property rights in court.

Martha Coston's arrangement for European sales resulted in a lawsuit, where the company did not make payments that were agreed on.

The Coston Manufacturing Company faced increasing competition from other flare manufacturers. Martha had to adapt her business strategies and innovate to maintain her company's market share.

Martha faced challenges in managing the company's finances, production, and distribution networks. She demonstrated strong business acumen and leadership in overcoming these obstacles.