I always thought the "Catholic education" thing by DB via CS was a "damage control" and "image re-invention" ploy...JMO.
Seriously, a mother/caretaker of 3 (including a baby, whom purportedly had a cold and cough), admittedly drinks alcohol to the point of "maybe" blacking out, and baby disappears that nite...but one of her goals is that her kids get a Catholic education? Where in the past did she work toward that goal?
Unless perhaps, she knows she's not a fit mother and was just trying to share what her hopes were for when someone else would get custody of them.
When it comes to analyzing DB/JI's words and behavior, and their statement inconsistencies...it's much like DB herself said on Day 1 in regard to Lisa being missing "nothing makes sense".