"on a certain night" is correct and usable in written English.
You can use this phrase when you want to describe an event or occasion that happened on an unspecified evening or night. For example, "On a certain night, the stars shone bright in the sky."
"The other thing is that if you're only a two-pitch pitcher, and one of them is ineffective on a certain night or you can't get it over, then you've got problems". Said Roger Craig, the San Francisco Giants manager: "Unless you've got the overpowering fastball of a Ryan or the movement of an Orel Hershiser, you've got to be able to throw a breaking pitch when you're behind in the count.
"It's one of them things that happens and you just get a certain referee on a certain night that makes a decision and there's nothing you can do about it.
Current rules require Iowa Democrats to show up to their local precinct at a certain time on a certain night.
Guy Lombardo can be nice on a certain night, but you're going to need Duke Ellington and Count Basie".
However (absent creditable grounds supporting such a link), evidence that the moon was full on a certain night will not assist the trier of fact in determining whether an individual was unusually likely to have behaved irrationally on that night.
This is how Tynan described the ideal critic's work: "His review is a letter addressed to the future; to people 30 years hence who may wonder exactly what it felt like to be in a certain playhouse on a certain night".
A former Bostonian got a letter from one of his father's friends there, saying that he was coming to N. Y. on a brief business trip and suggested that the two of them get together on a certain evening.
The New Yorker, January 7 , 1939P. 44 I had seen in the papers that on a certain afternoon it would be possible for anyone - anyone with six dollars - to visit half a dozen charming hostesses in their salons.
The president of a fairly large company once told me casually that he could not see me on a certain afternoon because he was attending his company's training session in welding and as a student, rather than as an observer or teacher.
By E. J. Kahn The New Yorker, January 7 , 1939P. 44 I had seen in the papers that on a certain afternoon it would be possible for anyone - anyone with six dollars - to visit half a dozen charming hostesses in their salons.
Suppose that this man was confined in Providence, and utterly incapable of getting to Boston on a certain morning.
