Hi Boethius
According to burgh of Edinburgh records- there is an advocate and notary public by the name of Alexander King listed in documents from around 1565 through to 1782 when he is recorded as deceased. THis appears to be the man who owned Kings Close in Edingurgh that you mentioned.
From 1584 Mr Alexander King appears in the records. In 1588 there are documents in the records of Deeds for the Court of Sessions mentioning Mr Alexander King (heir of Alexander King) and his mother- Katherine Young (relict of Alexander King). They also make reference to James King, advocate and brother of Mr Alexander King, and Alexander's future spouse/spouse Margaret Swynton. Interestingly there is a birth record for an illegitimate daughter- Jonet King born 1634 born to Alexander King and Marion Swynton.....So did they actually not marry I wonder?? THey also mention as sister of Mr Alexander King- Isobel married to Robert Danielston.
However, in the 1580's-1590's there are also a number of documents appearing that record what must be another advocate Alexander King as his spouse is a Janet/Jonet King. These documents appear to confirm this particular Alexander was related to the King family of Barra, and therefore the family in feud with the Seton clan. This Alexander was murdered by the Setons in retribution for the murder by the King family of Alexander Seton.
There are these references that appear to tie to the first Alexander King - advocate:
2 Jul 1596: Extract bond and judicial ratification by dame Jean Hammiltoun,
lady Ardkinglas, of contract of alienation; Witnesses: Mr John Archibald,
Walter Lyndesay, servitors to the laird of Glenurquhay, John Oiswald of
Saltcottis, Mr Harry King, brother to Mr Alexander King, advocate,
Colin Campbell and John Younge. Reg. commissary books of Edinburgh,
2 July 1596.
1601- There is also a sasine involving the teinds (tithes) of Monktonhall and which were assigned
to James King, brother german to Mr Alexander King of Drydane by Thomas Otterburn made at
Edinburgh 3 April 1601. The sasine which follows records James King as an advocate (Edinburgh
Sasines – RS24/1/162 and 163)
1611: Discharges, legal and miscellaneous papers: (4) 24 Sept. 1611. Inventory of
writs, 1409-1537, delivered to William, earl of Menteith, by Mr Henry King,
advocate. GD220/6/1808
2 July 1612 - involved James King, advocate acting for Euphemia King, relict of
Quintgern (Kentigern) Fairlie. It referred to a Deed in the Books of Council and Session
(i.e. Register of Deeds) recorded 5 May 1612.- B22/1/47
20 Feb 1613: Discharge by Marie King daughter of deceased Alexander King
advocate to MR James King advocate her brother: Suddenly a MR James King...so is this perhaps a son of the other Alexander King (married to Janet King) rather than brother to Mr Alexander King?
?
1618- Mr Alexander King of Drydane will, who died intestate on the 20 February 1618. His
executor was his brother, James King, advocate. His estate was to be divided in two parts
which indicates that he did not have a surviving wife or children (CC8/8/50/601 recorded
22 March 1620)
So as best I can tell- there were 2 Alexander King's around in the 1880's-90's- one married to Margaret Swynton and one married to Janet King. Perhaps they were cousins? There are also 2 James King's- both advocates in the 1610-1630's- one titled with Mr. One is married to Janet Douglas, the other is married to a Marion Hart....I think the untitled James King advocate belongs to Mr Alexander King (and therefore is brother to Adam and Harry). Possiby the titled Mr James King is linked to the Barra Kings, and is brother to Marie, and perhaps also Clement and Margaret??
There is Clement King around at this time- Dr of Medicine. He is mentioned in documents that clearly identify him as the brother of Margaret King- wife of David Herriot (goldsmith) and daughter of Alexander King advocate....but which one! But I cannot find any definitive link between him and one of the 2 Alexanders....
Found mention in a reference about Adam King (Scottish Notes and Queries 1906) stating his library was sold for 2000 merks to Robert Munro of Cantullich.
Not sure if any of that makes sense or helps your interest?