At the eastern end of Princes Street is Register House, completed in 1788 from a design by Robert Adam and built for the Scottish public records office.
The house is on the western end of Princes Street. 
mnli hypothesis: The house is on the western end of Princes Street.  premise: At the eastern end of Princes Street is Register House, completed in 1788 from a design by Robert Adam and built for the Scottish public records office.