Once you reach the last streetlamp you are supposed to search under it in tall grass. This gives you another objective: Enter Cloudy Dregs Inn and its second floor. There are doors to the Attic Room. Search the Attic Room by examining "For Donel from Father" note on a desk. This makes nearby Frodibert Fontbonne’s Chest lootable.
This is where you decide whether to keep the inheritance or not. If you chose the second option, you receive 177 golds from Recruitment Officer Orgak.
Note: We would like to thank user HUSKERKLG for information he provided in the comments.
The first Streetlamp points south.
The second Streetlamp points east.
The third Streetlamp points east.
The fourth Streetlamp points north.
The fifth Streetlamp points north.
The sixth Streetlamp points east.
The seventh Streetlamp points north.
The eight Streetlamp points east.
The ninth and last one complete this part of the quest objectives.
Map of Streetlamps locations you can follow for this quest objective.
Enter Cloudy Dregs Inn for new objective. On the first floor you can see stairs that lead to Attic Room.
Examine note – “For Donel from Father”.
Make a decision about keeping or giving the Inheritance.