The settlement agent, escrow agent and the title company and the title insurance company are the same entity, right?

The answer is “sometime, but not most times”. The Settlement Agent is a provider of settlement services. An Escrow Agent is a provider of funds accumulation and disbursement services. The term “title company” is sometimes used to refer generically to the Settlement Agent, the Escrow Agent, and/or the party actually providing the title underwriting services. The title underwriting services include such services as title research and title commitment issuance services. Title underwriting is not necessarily the same entity that provides the actual title insurance coverage. The title insurance company is the party who provides the actual title insurance policy coverage. In most cases, on most loans, one or more of the various title-related entities are independently owned.