Yes, Goats can founder, though not in quite the same way as a horse.
She needs to stop feeding her chicken feed for a start....really all grain needs to be stopped. Chicken feed is not made for goats to eat.
Here are a couple of web sites with reems of information.
Foot rot in goat
Foot rot is a contagious disease, caused by a mix of different bacteria with the essential one being Dichelobacter nodosus. There are two main forms of foot rot - virulent and benign, they are caused by different strains of the bacterium Dichelobacter nodosus. The bacterial infection cause varying degree of damage to the horn of the foot, leading to lameness and significant loss of body weight. The foot rot disease are two types, benign and virulent. Both have been started as inflammations seen as moisture, reddening and loss of hair between the toes. This disease is checked by the gelatin gel test (protease) measure the activity of enzyme protease, which are help to destroy the soft horn and tissue of the hoof.
Type of foot rots
Benign foot rot (U strains including mild U5 strains).
Virulent foot rot (mild â€œSâ€ strain also hot U5 strains).
Virulent foot rot (more virulent â€œSâ€ strains).