Both Uses

fervent
in
Orphan Train, by Christina Baker Kline
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It is our fervent hope that each of you will find a path out of the depravity of your early lives, and with firm guidance and hard work transform into respectable citizens who can pull your weight in society.†
p. 36.3 *
ON THE NIGHT OF HER EIGHTH BIRTHDAY, AFTER ICE-CREAM SANDWICHES and a Sara Lee cake her mother brought home from the Mini-Mart, after making a fervent wish, eyes squeezed shut as she blew out the tiny pink-striped birthday candles (for a bicycle, she remembers, pink with white and pink streamers like the one the girl across the street got for her birthday several months earlier), Molly sat on the couch waiting for her dad to come home.†
p. 134.6

Definitions:

(1) (fervent)
characterized by intense emotion or passionate belief
(2) (meaning too rare to warrant focus)
Much more rarely, fervent may refer to something that is especially hot or that glows from heat.