Headlines and Titles of Works

Q. Question: When the day of a month is spelled out, as in “the second of January,” should it be capitalized, i.e., “the Second of January”?

Q. Which is correct: “on January second” or “on January Second”?

A. Okay, this is intriguing: these two questions arrived on the same day a few hours apart. Do we have dueling colleagues? Friends who made a bet? Or maybe—tragically—soul mates who don’t even know each other and never will? The answer is that Chicago style lowercases the number of the month unless it’s a holiday like the Fourth of July. Will one of you write to explain this mystery when it’s posted? Let’s hope for an update next month.