There's an article in the Cumberland News 16 September 1977 pg 4, Alexander Robinson and sons, Upperby, Linen Manufacturer. It might contain some information, accessible on microfiche at Carlisle Library.
I have a copy of this article, if you PM me with your email address I can send it to you.
You probably have this info - Family Search is showing two deaths for an Alexander Robinson, one for 2 March 1805 (b1744) and one for 3 Feb 1805. There is a marriage record for Alexander to Margaret Mitchell 15 Feb 1768 and a burial record for Margaret Robinson wife of an Alexander 18 March 1792 Will check these as well to see if there is any additional info on them.
I checked the records for the marriage of Alexander to Margaret, I have a copy of this., Margaret was a widow, but it doesn't give any address on it except they were both of the parish. They were married in St Cuthbert's church in Carlisle. Upperby was part of the Parish of St Cuthbert's Without.
The burial entry (St Mary's Church, Carlisle) for Margaret in 1792 said that she was wife of Alexander, weaver of Upperby and she was 61.
The 2 burial entries for Alexander, could only find the one for 2 March 1805 again for St Mary's Church, Carlisle. It was really poor quality, but said Alexander of Upperby, Weaver, 61.
The writer of the Cumberland News article mentions that he thinks that Robinson's damask weavers had started about 1808, but the death of Margaret and Alexander implies that it had started much sooner than that and maybe even as early as the marriage in 1768.
