I'm guessing Friars Court may have been a building in Friars Lane?
Certainly would seem to be so - there is no sign of it on the (very detailed) OS Town plan of Inverness dated 1867, but the 1873 Street Directory does list it - with 8 householders, first being a lady who is lodging-house keeper - and in between 12 and 18 Friars Lane.
Note: Back then street numbering was consecutive (down one side of street and back up the other).
The next Street Directory, 1899 (by which time streets had been renumbered as odd one side and even the other), shows Friars Court as being on North side between 16 and 18, with six householders. I would think it was a tenement-type building behind Friars Lane which has long since gone - the current Telephone Exchange (built 1930s) now covers the site. Neither street directory has anyone called Urquhart as a householder.
The 1927 Directory shows Friars Court as being between 16 and 20 Friars Lane, and comprising 1, 1a, 2, 3 and 4 - so presumably flats in a tenement. By 1930 there were only 1, 1a and 2, There is no listing for Friars Court in 1931 - only a gap in numbering of Friars Lane - goes from 16 straight to 20 and then 28. so likely demolished or derelict by then.