Jamjar, I'm not any help to you I'm afraid because my only Burgess link is much much later but it could be a longstanding local family - and then again, it may not.
I could recognise and totally understand your frustration when nothing on the Burgess name seemed to turn up in the area. My family are not that far away, mainly Johnstonebridge and surrounding parishes but later generations partially in Beattock as well.
My great aunt married David Burgess. In earlier records he was shown as a shepherd by by the marriage he seemed to be the tenant farming a neighbouring farm. They married at her home on the family farm (Kirkpatrick Juxta parish) on 19 June 1902. His full name was David Bryden Burgess, and he was 30, so presumably a birth year around 1872. His parents were John Burgess, Estate Labourer, and Jane Burgess, MS Bryden. Neither are shown as Dcd on the marriage certificate.
I've nothing on any Burgess other than that and it's a lot later than you are asking for, but if you really have no hint of any other Burgess family in the area I thought at least I should throw it into the ring for you, as it were.
Sorry it's not more helpful.
