I am graduating today from Lincoln Tech, New Britain LPN program and there were many bumps along the way. Only 15 of the original 60 students made it.
If you are extremely dedicated, and are prepared to sacrifice two years of your life (no partying, no vacation, study, study, study) you will make it through the program. You will not get sympathy or any extra consideration from instructors for being a mom; or for health issues, which cause missed classes, etc.
Keep in mind that you are only allowed a certain number hours, NOT DAYS that you can be absent per MOD (semester). For us I think you could only miss about 9 hours 1st mod, which means if you miss two whole class days...you are out of the program.
I dont want to discourage anyone but it is a hard and expensive program. I too was in a similar situation where I had all my pre reqs for a BSN/RN but could not get into a RN program. I chose the LPN route 1st so I can get some experience as a nurse, then maybe I can finish pursuing my BSN.
If you have a good support system, babysitters, and family to help you out you can make it through the program. GOOD luck