Should the word epitaph be capitalized?

No, the word "epitaph" is not typically capitalized unless it is the first word of a sentence or part of a title.

Here are some examples:

* Correct: "He wrote an epitaph for his grandmother."

* Correct: "The Epitaph of a Life Well Lived" (title)

* Correct: Epitaph is a word that refers to an inscription on a tomb.

The word "epitaph" is a common noun, which means it refers to a general type of thing (in this case, a tomb inscription) and is not capitalized unless it is the first word of a sentence or part of a title.