nis.rokh is the proper name used for the god whose house is the setting of a king's worship and death.

The supplied verses use the term as a proper name for the god whose house is named as the location where a king is worshiping or bowing down before he is struck down.

1. Name of the god whose house is the setting · dominant

   In 2 Kings 19:37 and Isaiah 37:38, the form is tagged as a proper noun and occurs in the phrase naming the house of this god. In 2 Kings 19:37 the APB renders the setting as “the house of Nisroch his god,” while Isaiah 37:38 places the king there as he is “bowing down” before his sons strike him.

   2 Kings 19:37Isaiah 37:38

In the Anselm Project Bible: The APB presents the name directly in “the house of Nisroch his god” in both verses. The surrounding descriptions of worshiping and bowing down identify the clause's setting rather than independently defining the name.