There are old stories about medications that used to be used, especially for women undergoing childbirth in the 1950s and 1960s. Some of those caused bizarre behavior. When I worked in a women's health clinic, some of the older nurses used to talk about how patients behaved in the old days.
But anesthesia has come a long way. People You are not going to be "under" all that long, and you are having laparoscopic surgery which is as minimally invasive as possible. You're not having a ton of anesthesia like someone who undergoes a 4 hour major surgery. So you won't need as much anesthesia or for nearly as long.
They will probably give you something to relax you - through your IV. When you meet with the anesthesiologist, please do express your concerns so that the doctor can reassure you. You'll be asked about allergies and so on, so be honest and forthcoming. These doctors frequently see people who are anxious. While you don't have to go into details, you can say you have a lot of pressures at home and minimal support, so that feeds into your anxiety. Please DO say that you are afraid of acting irrationally, not waking up, or waking up during the surgery so the anesthesiologist can explain to you what he/she will do so that doesn't happen.
Please understand that you will be monitored at all times during your surgery, and you will be brought "out of it" as soon as is feasible. But if you seem to wake up during the surgery (if your eyes open, if your breathing speeds up, etc.), there is someone right there to help that. But you're not going to wake up completely and be entirely aware of things - that just doesn't happen. You will also have a nurse with you before, during and after who is highly experienced at helping people manage with their nervousness.
Some people might get a headache from some anesthetics, some may feel a little nauseated, but you may not. If you do, they can help you. When you wake up, they will still be giving you something for the abdominal pain so that you stay comfortable.
I had a laparoscopy and never had any problems at all. I remember nothing.
In my personal and clinical experience, I never heard of anyone doing anything wild or crazy or embarrassing in the last 30 years of anesthesia.
I'm so glad you will have your mother with you. Don't feel you need to put on an act for her or for the staff - no one would blame you for anything you said while groggy or sleepy anyway! Good luck with everything!