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There are a number of relevant approaches, with some subtle differences:
Social history looks at the life of regular people and socio-economical structures rather than what's called “la grande histoire” in French (i.e. wars, politics, dramatic events and famous people). Here the focus is not so narrow and the authors sometimes offer generalisations, up to the 5 tome Histoire de la vie privée edited by Philippe Ariès and Georges Duby, which attempts to describe daily life from the Roman Empire to the 20th Century.
During the last decades, social history moved from a primary focus on economical issues to a stronger interest in culture and representations (histoire des mentalités including much of Duby's work). Works like Corbin's (which is sometimes called histoire des sensibilités) therefore also include a lot of material on sensory experience (colours, smells, noises) that seems particularly relevant to your question.
(I do not mean to suggest that it's restricted to the French-speaking historiography but it seems particularly active there and that's what I am most familiar with so that's what I covered in my answer. Fortunately some of these books have been translated to English and you can use Wikipedia to find other interesting references.)
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An excellent source for the late 12th and up to mid 13th century in southern France might be the translations of the inquisition against Cathars led by Pierre Fournier, for example "Montaillou" by E. Le Roy Ladurie.
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"History from below" is an example of attempts to write the history of ordinary people. This particular approach was a reaction by leftwing historians against the prevailing interpretation of Marxist history, which viewed people as the passive vessels of economic forces.
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There are many books written about this but I am not sure that there is a name for the "filed of study". For example, Carlo Ginzburg, Cheese and worms. The Cosmos of a Sixteenth-Century Miller, https://jhupbooks.press.jhu.edu/content/cheese-and-worms
There are also many books, mostly in French which have "Daily life" in their titles, like
Edmond Pohnon, La Vie quotidienne en l’an mille, 351 p. rééd. en 1992.
Here is a similar book in English:
The Year 1000: What Life Was Like at the Turn of the First Millennium: An Englishman's World" by Robert Lacey and Danny Danziger
It is not only about ordinary people but ordinary people are included.
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Just as I was posting that question and looking for a tag, I saw social-history appear as a suggestion. Sure enough, Social History describes what I am looking for:
Social history, often called the new social history, is a broad branch of history that studies the experiences of ordinary people in the past.
I have recently started reading the English translation of The Cheese and the Worms: the Cosmos of a Sixteenth-century Miller, which documents detailed aspects of the life of a Friulian miller of that time. It describes itself as a work of Microhistory, which might also be a fitting term, although that term is perhaps not confined to individuals' experiences.