Meaning of "which her parents and grandparents had resurrected this side of the Atlantic"?

Hello everyone. I am reading a novel, and I came across this expression. Could you please let me know its meaning?

Same Clara, new Clara, old Clara, the Clara who shut people up and put them in their place, the Clara who stares and weeps, the Clara who, on weekday afternoons after school, would dash out of her building on 106th Street and scamper down the stairway by the Franz Sigel memorial statue to join the other children and sled down the hill or head toward Straus Park, where they all sat on one bench, ratting on their parents—Clara who mourned her parents in silence when she heard the news, but then changed clothes and went to a party—Clara never outgrew the comfort of those hours when her parents drank tea with friends by the large bay of windows facing the Hudson and all she had to do was sneak in among them with a book, and all, all was well and safe in this medieval town along the Rhine which her parents and grandparents had resurrected this side of the Atlantic.

- André Aciman, Eight White Nights, Fourth Night

This is a novel published in the United States of America in 2010. This novel is narrated by the nameless male protagonist who meets Clara at a Christmas party in Manhattan. Now the protagonist is at the movie theatre with Clara and thinking about Clara in the past and the present.

In this part, I wonder what the underlined expression means.

I guess It might mean, her parents had resurrected the medieval town, (not that they had resurrected the Rhine, or resurrected this side of the Atlantic), "at" this side of the Atlantic, but I am not sure...

Thank you very much for your help.