It is true that Sauron drove the Elves north in Mirkwood, but Lorien was already inhabited by the woodelves long before that time. Sure, the contact between the Mirkwood-Elves and the Lorien-Elves before the former moved north was close, so that there might have been some of the Mirkwood-Elves going to Lorien instead of north. But I don't think that this happend enough to make the move to Greenwood in the fourth age a return home.
Respectfuly
Findegil
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