Not sure on the ID because that plant is hella stressed. Might just be aloe vera, but could be juvenna. There can variety within a species that may explain some of the irregularities I'm seeing. Do you have a picture of the healthy mother?
The soil needs to dry out between waterings to encourage root growth and prevent the plant from falling over. Chronically over watered aloe will get floppy and weak.
They don't do fantastically with a hot soil, I cut my Fox Farms Ocean Forest with coco coir and perlite at about 30/50/20 and I have gotten aloe vera to be about 30" wide 3ft tall with more babies than I know what to do with. The only time I fertilized was when I went up a pot size and I just added more of the same soil mix, planted the babies in it too. So if you are using miracle grow or an uncut hot soil, that is bad.