There is no doubt that Lórinand was an older name for Lórien, but we have relatively little information about when it was used or when it fell out of use. The last recorded use of the name comes from accounts relating to the fall of Eregion and founding of Rivendell, which would date it to about II 1697, but it may have continued in use for some time after this. The fact that it means 'Valley of Gold' suggests a later use, apparently referring to the golden mallorn trees of the land (which, in the middle of the Second Age, had yet to be planted there by Galadriel). Indeed, this reference to the valley being 'golden' might be taken to imply that it was a later name for the land, applied historically, rather than a contemporary name.
Though the name of the land changed through history, the Silvan Elves who dwelt there remained the same people. Indeed, given the immortality of the Eldar, there were presumably Elves living in Lórien in the later Third Age who had been among those who settled there millennia in the past, and had seen the entire history of the land.
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