Your mom is wrong, When it comes to undergrad/grad school admissions, you must submit every single transcript, for every college course you have taken. It does not matter if it was online.
It does not matter if you were a high school student
It doesnot matter if you were a dual enrollment student
It does not matter if you were a non degree student
It does not matter if you did not take the course at your home college
It does not matter if it will be transferable credit
The only thing that matter is that you took a college course, you report a college course. If you don’t report it is considered willful misrepresentation that can lead to your admission being rescinded or rescinding your degree leaving you with a worthless piece of paper.