it looks like your mother had subconjunctival heamorrage, it could be due to some minor trauma (finger nail) or sudden rise in B.P in a hypertensive patients , blood thinners like aspirin , persistent cough , constipation can also give rise to a SCH. its a relatively harmless condition by itself , but underlying cause needs to be investigated. by the time antibiotics eye drops and topical nsaid (flurbiprofen) can be instilled tid . vit c (OD) tablets can help too. All SCH takes 2-3 weeks to resolve , have patience , and in the mean time if she has developed pain please consult and ophthalmologist.