The phrase "accompanied by a note that" is correct and usable in written English.
You can use it when referring to something that is provided along with a note or explanation, often in formal or informative contexts.
Example: "The package was delivered, accompanied by a note that detailed the contents and handling instructions."
Alternatives: "along with a note stating that" or "with a note indicating that".
It turned out to be the entrails of a deer, accompanied by a note that made a reference to White Buffalo, the Connecticut company that killed 303 deer here in January and February as part of this township's effort to thin its deer herd.
Another was accompanied by a note that asked, "Triggered?" The law's effect can be felt in another way, too.
Even before the real singers arrived, he would linger over an individual phrase or word: "ma," say, meaning "but," accompanied by a note that changes the direction, and thus the inflection, of the music.
Every product is labeled with a little white card explaining where it came from and what that place specializes in — books from Ed Varie gallery in the East Village, for instance, are accompanied by a note saying that the gallery supports "New York artists who are in the early stages of their career".
Additional essays may be submitted if selected by the instructor and accompanied by a note to that effect.
Upperclassmen enrolled in 100-level courses submit their essays in categories C, E, F, G, and H, not D. Each student may submit only one, unless additional entries are selected by the instructor and accompanied by a note to that effect.
She played well into old age, using near-grotesque ritardandos accompanied by a note-perfection that was remarkable, given that she never practiced.
The last drawing is accompanied by a note to say that Francka died in Auschwitz before her 15th birthday.
Then it arrives on their doorstep in the early hours of the morning: a wooden box protected by a glass dome with a button on top, locked with a key, and accompanied by a note which states that a Mr Steward will come at 5pm.
Wedged between "Management Medicine: The Doctor's Job Today" and "The Idea of Religion Part Two," it was accompanied by an editorial note that has the air of an apology: Motion pictures are not, of course, a subject of discussion in Great Books of the Western World, save perhaps as there may conceivably be a mention of them in Freud's early writings.
A few months after he was captured we received a small bundle of his letters, accompanied by a note from the British censor saying that it was believed that my father was sending coded information, and asking if my mother could help.
