I've managed to locate Joseph Darlington born 1804 Cheshire my thanks to third cousin Robert Darlington.
On the origin of the Darlington surname. I have been using DNA to determine the 'hotspot' for the origin of my Y-DNA. I am described as an I2b1 M-233 Haplogroup. On FamilytreeDNA I've been able to determine a number of people who share a common ancestor more than 1000 years ago. The majority of them have surnames that are distinctly of Saxon origin from the region of Saxony or are German / French (Frankish) names.
What is interesting is there is a region designated on old Holy Roman Empire maps of an area or landscape (gau) called Darlinggau, Darlingau or Derlingau. The place name shares a similarity between the Anglo Saxon usage in the British Isles Dar-ling-ton,Der-ling-ton which similarly is a place name introduced as a surname in the 14th Century.
And while this is not conclusive, the hotspot for my Y-DNA is within the Saxony region.
It has been long held that the Darlington name had its origins in the Anglo Saxon name 'Deornoth' but it may now also be attributable to the region in Saxony.
it is plausible that in the course the first century during the many migrations across the Channel, the name traveled from this region in Saxony to its present location of Darlington in the UK.