I will for sure inform her that they won't survive in our house if i get them and escape. and she doesn't go into that cabinet and she hardly goes into my room. so I think I should be getting some as soon as i get about 25 bucks to get a ficus.
They absolutely WILL survive in your house, they just aren't SUPPOSED to reproduce. These things are nearly impossible to kill - I've tried. They survive through extremely low temperatures, they just go dormant until it warms up. They're extremely resilient.
I bought a starter colony but wasn't able to keep them, for the same reason. My mom absolutely refused to let me keep them in the house, not even feed them to the chams inside. During the summer I can breed them outside and take the chams out to eat. However, when I bought the starter colony, it was too cold to take the chams out, and since the roaches couldn't come inside, I had to get rid of them. I couldn't let them free outside, because you should NEVER release species that aren't native (even if they aren't expected to survive), so I put them in a closed container (not 100% air tight, but they had very little oxygen) in the garage. Temps went down to 30*, and they still wouldn't die. No food, no water, freezing outside and they stayed alive like that for 3 months. We finally had to spray them with insect killer. Sound like something that couldn't survive indoors? Sure, they do need warm temps to reproduce, but they're extremely resilient.
If you mom won't let you breed them inside, maybe you could also keep them over the summer. Depending on where you live, the colony might survive the winter, though they won't reproduce until it warms up.