It has challenged the recently formed constitutional convention chaired by the Bishop of Durham to demonstrate how regional government might work.
Both the archbishop and his successor, the Rt Rev Justin Welby, the current Bishop of Durham, were in favour of a "yes" vote.
Echoing the political role played by his medieval predecessors, the present Bishop of Durham is considering an invitation to chair the new convention.
The Bishop of Durham, Right Rev Justin Welby, took charge of Saturday's Northern Echo, giving the front page over to a scheme helping the jobless.
He was a vicar in Warwickshire, a canon of Coventry Cathedral, and the Dean of Liverpool, before being appointed as Bishop of Durham in November 2011.
Dr Williams will be succeeded by the Bishop of Durham, the Right Reverend Justin Welby - who has said the ordination of women bishops will go ahead.
He took up the post of Bishop of Durham in November 2011 and worked as Dr Williams' special envoy to Africa, attempting to build unity between Christian and Muslim communities in Nigeria.
Durham's power and influence then grew as successive English kings gave the Bishop of Durham princely status, so he could raise taxes and armies to fight off periodic Scottish invasions.
The Archbishop of Canterbury, the Most Reverend Rowan Williams, his soon-to-be successor the Bishop of Durham, the Right Reverend Justin Welby, and the Archbishop of York, Dr John Sentamu will be tweeting.
Just before Christmas two leading figures from the region, the Bishop of Durham (and Archbishop of Canterbury-to-be), Justin Welby and Paralympic superstar, Dame Tanni Grey Thompson helped persuade the government to change the law.
Earlier, Bishop Welby said that departing his diocese of Durham would leave "a great gap" in his life.
BBC: Justin Welby: Those who bet on me should donate winnings
Bishop Welby is currently responsible for the diocese of Durham, but will take on the Church of England's most senior post at a ceremony at Canterbury Cathedral - the seat of the archbishop - on 21 March 2013.
BBC: Justin Welby: Those who bet on me should donate winnings
Bishop Welby said his time at Durham had helped him rediscover the "seven eighths" of the church that did not warrant much public attention.
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