Hon - she Henne - her Hennes - hers (possesive) Please correct me if I am wrong.
It does, but there's a slight difference between them. Handske is preferrably made of leather or high durability material (such as working gloves for construction workers), and always has fingers. A vante will probably be made of cloth and can be a mitten.
So when is henne used? When it's the object?
Hennes handskar = her gloves
Hon har handskar = she has gloves
Jag älskar henne = I love her
Is that correct