Oh yes, and there is!
"Mr. MOORE: It was a general message, sir.
Titanic sends C. Q. D. Requires assistance. Position 41° 44' north, longitude 50° 24' west Come at once. Iceberg.
Senator SMITH: Who signed that, if anybody?
Mr. MOORE: This is just a message he picked up, sir. He happened to hear it. He was sending this up at once to me."
Additionally, there will be a copy of that somewhere in Washington since "(The message referred to was thereupon filed with the committee and marked "Exhibit Moore, No. 1.")
Concerning the timing of these messages:
We know the first signal was sent before Boxhall returned from his second inspection. We also know that he called the rest of the officers about 20 minutes after impact then made his way back to the bridge, helping to unlace covers on his way. Thereafter, he consulted with Smith who told him that a CQD had already been sent. That being the case, then the revised distress coordinates were transmitted as the boats were being prepared and the first CQD sent about 10 minutes before that.
Now, something is way off base here. Because If the original CQD position was sent at 10-25 pm EST as you claim, and there had not been a clock alteration, then it was sent at 12-27 am Titanic time and the revised one 10 minutes after that, at 12 37 am Titanic time. This suggests that Boxhall Called the Officers at or near to Midnight then strolled around the deck for at least half an hour before going to have a word with Smith- who, incidentally knew his ship was doomed less than 15 minutes after she hit the iceberg.