This family seems to be intermarried with the Scott family also of this area. In Hawick there is a new Family Research archives, see this post by the Scottish government: http://www.scotland.gov.uk/News/Releases/2012/06/Scottish-family-history
Borders Family History Society
Google Books (Free)
The Covenanters of Teviotdale and neighbouring districtsBy Duncan Stewart, John Smith (Minister of Denholm.):
Archibald Riddell is on page 61 to 76 and a mention in connection with Semple on page 77.
The other information I have is not as complete on Archibald's life as in this account. Archibald Riddell's connection to the Sir Walter Scott family is also detailed. Blackadder was exiled to a rock with Riddell for preaching the gospel with him. Teviotdale is in Roxburgshire, Scotland (in the Scottish borders area).
Archibald Riddell is also found in the National Archive of Scotland:
1680-1729 regarding examination: "Copy of examination of Archibald Riddell before the committee of the [Privy] Council. Gives questions to put Riddell anent preaching in the fields, by Lord Linlithgow, the lord advocate, the justice clerk." [ Reference GD237/20/27] October 1, 1680. It is believed that by this time my ancestors who are related to this branch went to Northern Ireland, Londonderry County possibly Coleraine. But what I do not know is when they left Roxburgshire.
Goldielands which was called "Glen Riddell" was located on the Teviot river, North of Hawick. This family of Glen Riddell was a friend and patron of Robert Burns. I am still sorting out all the marriages and relationships in that area and will post more on this branch later.