Unfortunately the images in this thread have been removed by the Rootschat Copyright police - no comment on that.
To give some historical context, I've enclosed a page from W. Downing Bruce's publication:
Collections Towards a History of the County of Clackmannan
https://www.clackmannanshire.scot/index.php/history/collections"No.71. - 24th October, 1596 [1594?] - Charter from Sir Robert Bruce of Clackmannan, knight, to his loving cousin, Robert Bruce, millar of Lindmill [Linn Mill], and Agnes Wright, his spouse, of the houses and lands of Lindmill, which formerly belonged to the deceased Andrew Bruce, father of the said Robert, and were near the lands of David Bruce of Green, on the east side, and the said David Bruce's brew-house on the west. (W.D.B.)
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Robert Bruce, a son of Sir David Bruce of Clackmannan had a grant of the lands of Lindmill ; he was probably father of the above Andrew. Thomas Bruce was "laird of Lindmill," 1599-1603 ; he married Janet Mackie, and had a son Adam, born 1597. In 1604, he was served heir to his brother James. The family continued to occupy the mills at Lindmill down to the beginning of the present century [1800]. Mr John Bruce, Sheriff of Clackmannan, who died 8th January, 1815, at the age of 85, was a son of a Mr Bruce, Lindmill."
Best regards