OET interlinear NEH 3:9

uW Translation Notes:

וְ⁠עַל־יָדָ֤⁠ם הֶחֱזִיק֙ רְפָיָ֣ה בֶן־ח֔וּר שַׂ֕ר חֲצִ֖י פֶּ֥לֶךְ יְרוּשָׁלִָֽם

and,on hand_of,their repaired Rəfā\sup_yāh son_of Ḩūr (Some words not found in UHB: and,on hand_of,their repaired Rəfā^yāh son_of Ḩūr chief half_of district_of Yərūshālaim/(Jerusalem) )

In this chapter, when Nehemiah names a person, then names their father, and then describes a role, it is the first person, not their father, who was in that role. It will be helpful to your readers if you make this clear. Alternate translation: [Next to them, Rephaiah the son of Hur repaired part of the wall. Rephaiah ruled half of the district of Jerusalem]

Note 1 topic: translate-names

רְפָיָ֣ה בֶן־ח֔וּר

Rəfā\sup_yāh son_of Ḩūr

Rephaiah is the name of a man, and Hur is the name of his father.

Note 2 topic: translate-fraction

חֲצִ֖י פֶּ֥לֶךְ יְרוּשָׁלִָֽם

half_of (Some words not found in UHB: and,on hand_of,their repaired Rəfā^yāh son_of Ḩūr chief half_of district_of Yərūshālaim/(Jerusalem) )

The city of Jerusalem and the surrounding area seem to have been divided into districts for administration. This is the name of one of those districts. Apparently it was so large and populous that it had been further divided into two parts, each with its own administrator. Alternate translation: [ruled half the district of Jerusalem]