。
She had a coat on, then put on a hat.
Literal
She [topic-は] coat [object-を] is-wearing [and-て] hat [object-を] put-on.
Notice the tense asymmetry between the two clauses: 着ていて ('is wearing,' the te-form of 着ている) describes an ongoing background state, while かぶった ('put on') is a single past action. The first clause sets the scene — the coat was already on her — and the second clause adds the new action of donning a hat. This contrast between resultative ~ている for 'a state of being clothed' and the simple past for the act of putting on is a common stumbling block for learners: 着る usually means the moment of putting on, not the ongoing wearing, so 着ている is needed for 'wearing.' かぶる is the head-specific wearing verb.