Leslie, Thank you for the reply. NO as far I can see we are not related for some hundreds of Years. I did not mention one of the most noble Scots ( Although his bloodlines are English) General Lord (Baron) Henry Sinclair Horne of Stirkoke House 2 miles west of Wick. WW1 Commander under Haig, His most famous victory was Vimy Ridge and my father served under him there. He was born on Feb 19th 1861 and father Major James Horne of Stirkoke and his mmother Constance Mary Warner of Cheltenham. My bloodline meets up with his in the 15th century. Educated at Harrow and the Military Academy he rose quickly through the ranks after the South African War and in 1914 was Haig's General of the 1st army in france.
I had a few years ago estimated that there were 460 households of Horn/Horne in Scotland and that most of them were in Lanarkshire follwed by Midlothian.You couil;d say between Edinburgh and Glasgow, and many of these early Hornes !750-1850 migrated from the smaller towns and villages for economical reasons. Also making it difficult to track them down during this beginning of the industrial period.
All Horns/Hornes/Hearnes/Horans began from East Anglia in the 5th century, Saxon Athelings brought in to drive back the PICTS and were given a choice of land. The Hornes go back another 1,000 years to the Sicambrian Kings of Europe. So they are certainly one of the very few named families before the conquest. KEEP IN TOUCH.