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First I will point out that mythology has an obvious and direct relevance when it comes to the history of ideas, intellectual history, the history of religion and so on. In that sense, no matter how unreliable a myth is about other kinds of historical facts, they are inherently relevant for others. Myths tell you a lot about a culture and that, first and foremost, is their usefulness to historians.
But getting a little closer to the question as it is framed, the abstract to a relevant article by Peter Hees starts as follows:
Myth and history are generally considered antithetical modes of explanation. Writers of each tend to distrust the data of the other. Many historians of the modern period see their task as one of removing all trace of myth from the historical record. Many students of myth consider history to have less explanatory power than traditional narratives. Since the Greeks, logos (word as demonstrable truth) has been opposed to mythos (word as authoritative pronouncement). In more general terms myth may be defined as any set of unexamined assumptions. Some modern historians have become aware that much so-called factual history is interfused with such assumptions. What we call history is at best mythistory. Some even suggest that there can be no real distinction between the discourses of myth and history, between fact and fiction.
In other words, the relationship between myth and history is very much a matter of perspective. For historical positivists, myths are essentially just noise. For postmodernists and other strong critics of positivism, it's all mythistory.
I get the sense that the question is looking for historians who have a more positivist orientation but have used myths as evidence for more objective kinds of factual claims. I suspect this kind of method is much more common for archeologists that historians. Historians generally focus on written records that directly document the facts they are interested in. For archeologists, such conventionally "historical" records may not exist, at least not to the same extent and not as clearly independent of mythology. Here is one example with reference to the archeology of the Maya.
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I think this has been done. see Barber and Barber When they severed earth from the sky. There is an even earlier book though I don't recall the name but I think is referenced in the Barbers book.
They are archaeologists rather than historians but I think this is what OP refers to.
Also this book is rather theoretical in that they try to argue how myths can be used for history and develop certain rules for this, but they point to some cases. Sometimes they are persuasive, sometimes less so but very interesting nonetheless.
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Myths are generally unreliable sources for historic events because there is usually no way to tell where fact ends and fiction begins.
However, they can be a useful source about the culture and philosophy of the civilization which produced the myth:
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As Will & Ariel Durant's History of Civilization first pointed out to me several decades ago, reinforced by Kenneth Clark's Civilization BBC TV series, history is far more than just the chronological litany of battles and rulers through time (as important as those are). It also incorporates the art, architecture, culture, and more of those civilizations that flourished under those rulers and through those battles. In this broader sense of history, myths can indeed be of value to the historian.
Myths, for the most part and perhaps overwhelmingly, are the morality tales of a culture. As such, they can inform us of the values that a culture sees itself as having and desiring to have - even if they might occasionally absent themselves.
Cronos eats his children until foiled by Rhea presenting him with a stone in place of Zeus - who subsequently defeats his father and the other Titans to establish a more cultured pantheon of gods. This clearly suggests that the Greeks disapproved of infanticide - and the Greeks practiced a form of ritual-but-not-actual infanticide, the unwanted babies being left anonymously at well known locations where religious orders and others could find them for adoption.
Heracles is a hero not just because of his great athleticism and divine parentage but because of the cunning and skill with which he overcomes his challenges. We might infer that the Greeks themselves prized their ability to create the great legacy of scientific, mathematical and philosophical knowledge which they have left us.
Athens from an early time selects Athena as its patron, a goddess of both war and wisdom, telling us that they prized the ability to win at both battle and peace.
So while the facts that are found in or implied by various myths must be taken with many grains of salt, the ethics and morals of the portrayed characters, both vanquished and conquering, tell us much about the ethics and morals prized by the cultures preserving the tales.