How is the name of Hester's child symbolic in "The Scarlet Letter"?

There are
religious meanings in this book that focus on sin and suffering and the choices that people make
and how it affects their eternal salvation.

In the Puritan theology, or
beliefs, people are either saved, intended for salvation or they are not.  Salvation would be
very important to all Puritans includingand Arthur. 

The nameis symbolic, as
in pearl of great price. This reference can be found in the Bible, Matthew 13:45-46. 

"Even the use of "seeking" ( href="https://www.bibletools.org/index.cfm/fuseaction/Bible.show/sVerseID/23585/eVerseID/23585">Matthew
13:45) helps to identify the merchant as Christ because it means "to depart from
one place and arrive at another." Jesus did this Himself to pay the price of the pearl. He
departed from heaven and arrived on earth to complete His
mission."

The child, Pearl, has brought Hester to a
new place, her salvation is in question. 

Pearl, her daughter, has cost
Hester dearly, including, possibly her chance at salvation.