Was the Ukrainian flag draped on the Statue of Liberty? No, that's not true: This is a smaller replica of the Statue of Liberty in Colmar, France. The photo in the Facebook post is from the "Official Twitter account of the city of #Colmar" according to the Twitter account's bio.
The claim appeared in a Facebook post (archived here) on March 1, 2022. The caption reads:
Ukraine flag on the Statue of Liberty...
Deepest sympathy to Ukraine and its brave people in fight against Putin's thugs...
This is what the post looked like on Facebook at the time of writing:
(Source: Facebook screenshot taken on Wed Mar 2 18:22:40 2022 UTC)
Lead Stories found a tweet from Colmar, a city in the eastern part of France, where the photo originated. The caption, translated by Twitter, reads, "In support of the Ukrainian people."
En soutien au peuple Ukrainien. pic.twitter.com/jw3YVeuh1V-- Ville de Colmar (@villecolmar) February 28, 2022
Other Lead Stories fact checks about the 2022 Russia-Ukraine conflict can be found here.