IT IS BOTH a pundit’s truism and a mathematical reality that Mitt Romney’s path to the White House runs through Ohio. And that path, in turn, runs through a firm called Murray Energy.

Over the years, CEO Robert Murray has brought in GOP pols from as far away as Alaska, California, and Massachusetts for fund-raisers. In 2010, the year John Boehner became House speaker, the firm’s 3,000 employees and their families were his second-biggest source of funds. (AT&T was in first place, but it has nearly 200,000 employees.) This year, Murray is one of the most important GOP players in one of the most important battleground states in the country. In May, he hosted a $1.7 million fund-raiser for Romney. Employees have given the nominee more than $120,000. In August, Romney used Murray’s Century Mine in the town of Beallsville for a speech attacking Barack Obama as anti-coal. This fall, scenes from that event—several dozen coal-smudged Murray miners standing behind the candidate in a tableau framed by a giant American flag and a COAL COUNTRY STANDS WITH MITT placard—have shown up in a Romney ad.

The ads aired even after Ohio papers reported what I was told by several miners at the event, a bit of news that an internal memo confirms: The crowd was not there of its own accord. Murray had suspended Century’s operations and made clear to workers that they were expected to attend, without pay. “I tell ya, you’ve got a great boss,” Romney said in acknowledging Robert Murray from the stage. “He runs a great operation here.”

The accounts of two sources who have worked in managerial positions at the firm, and a review of letters and memos to Murray employees, suggest that coercion may also explain Murray staffers’ financial support for Romney. Murray, it turns out, has for years pressured salaried employees to give to the Murray Energy political action committee (PAC) and to Republican candidates chosen by the company. Internal documents show that company officials track who is and is not giving. The sources say that those who do not give are at risk of being demoted or missing out on bonuses, claims Murray denies.

The Murray sources, who requested anonymity for fear of retribution, came forward separately. But they painted similar pictures of the fund-raising operation. “There’s a lot of coercion,” says one of them. “I just wanted to work, but you feel this constant pressure that, if you don’t contribute, your job’s at stake. You’re compelled to do this whether you want to or not.” Says the second: “They will give you a call if you’re not giving. . . . It’s expected you give Mr. Murray what he asks for.”