If we take any baby born today (let’s call the individual we pick ‘Baby’), the history of its life has been born at exactly the same time. That history (let’s call it ‘H’) will grow relentlessly from nothing, adding a year to its girth every time Baby ages a year. If Baby eventually dies, at that moment H will reach its greatest size, and it will subsequently remain frozen in that state for the rest of time.
Such histories are clearly entities that inhabit time, because they can change (grow). The interesting thing is this: whatever our theory of how Baby persists through time may be, H has to persist by enduring. It can’t have temporal parts. (See here
for the jargon.)