I am very interested in any information relating to the Parkers you have described.
My Grandfather was Joseph Parker of Millers Flat New Zealand who is the son of Thomas Parker who I believe is son of Joseph Parker. I visited the Kirkdale church and cemetry in 1999 and viewed some of the family graves, and also located material about a Thomas parker ( thatcher??) in the Hutton le Hole museum, Unfortunatley I was only there a day.
The Parker brothers came and settled initially in Milton in Otago, New Zealand then one of them moved to Millers Flat. the other of them suffered ill health and returned to Yorkshire and died there. The two brother's farm was located where Milton, the rugby ground is now situated on the farm. they were not good scholars but very good stock men (horses and dogs a trait that has been passed on down through our family.
I have fond memories of my grandfather Joe Parker who was a bit of a character who died in the mid 1960's. The Parkers are great story tellers and songsters! My father his son was Stanley Nimrod Parker who passed away in 1993. I have photos of my Great grandfather Thomas Parker and his family around the 1900's. I have his special porridge pot and a Jews harp which I believe have been in the family for many years There are a few Parkers from the generation above me still alive. My brother Alan Thomas Parker still runs the small holding at Millers Flat fattening cattle. The family links to to past are reflected in the names of the children and grand children- There is a Fred Parker (of my generation ) and my son's is name Joseph.