Given the massive importance of textiles to Britain's economy and the substantial efficiency gains before the steam engine was used in textile factories, I don't think it's fair to say that the industrial revolution was entirely a coal/heating driven coincidence.
These three non-coal factors were also at play in stimulating the automation of spinning and weaving:
1. High wages relative to capital costs (compare with India, the previous textile leader, where it was uneconomical to invest in machines to reduce human labor)
2. Relatively elastic input supply of cotton from American colonies, and relatively elastic output demand for textiles throughout Europe, India, Africa, Asia and America.
3. A parliamentary system that significantly prioritized commercial interests relative to monarchies like Spain, France, China. This was relatively unique in the world (exceptions include the Dutch Republic and Italian city-states like Venice), and certainly unique among states of Britain's size and defensibility. It's important to remember that kings don't really care whether GDP per capita goes up 1% per year or 0% per year; they care about glory from empire expansion and regime defense (and the latter is often manifestly counter to commercialization and automation, which simultaneously empowers a threatening merchant class and also leads to revolts and instability among the lower class.)
Note that the first two largely stemmed from Britain's increasing domination of world trade, itself founded on a combination of naval hegemony, efficient capital markets, and shipping expertise (many of these inherited from the Dutch legacy following the Glorious Revolution).
Outsized results are almost always caused by a confluence of many interacting factors rather than a single explanation like coal deposits.