The booklet published by Henry Bedenfield, the current resident of Oxburgh Hall, Norfolk County, England states "The Bedingfield family originated in Norman times and it is said that the earliest known ancestor, Ogerus de Pugeys, came over from Normandy at the time of the conquest as one of the four nights of the Lord Malet. This may not be quite true, and in any case no serious claim has ever been made that Ogerus fought at the Battle of Hastings.However, it is certainly known that Ogerus, a latinised form of the Viking name Ogier, did hold land at Bedingfield (near Eye, Suffolk) of Robert Malet, Lord of Eye, who built the castle there and founded Eye Priory,Also, there is a village in Normandy called Paugeais, near Thury Harcourt, which could be the same as Pugeys.The earliest known record of the family, a charter made during King William Rufus' reign (1087 to 1100) tells us of Ogerus paying tithe to Robert Malet and as it is a confirmatory charter there must have been an earlier charter giving the same information though since lost.The charter was re-confirmed by King Henry I (1100 to 1135) to Ogerus'successor Peter de Bedingfeld when the manor became part of the Honour of Eye."
He goes on to say that "The manor of Bedingfeld continued to be the chief seat of the family until the inheritanceof Tuddenham lands by Sir Edmund in 1476 and when Oxburgh Hall was built it then became the chief seat, though Bedingfeld continued to be owned until relatively modern times by a junior branch of the family.Oxburgh Bedingfeld moved house only once in their 900-year history and then only 50 miles."
Today Oxburgh (pronounced Oxboro) is a part of the National Trust.Due to high inheritance taxes and the high cost of upkeep, the Bedingfield famiy - in fact it was the Dowager Lady Agnes Bedingfield - gave Oxburgh Hallto the National Trust to ensure its future preservation. Today, Henry Bedingfield and his family continue to live in selected quarters in the Hall.
During the time of the Bedingfield family at Oxburgh Hall they were honored by a number of prestigious visitors including two visits from Queen Mary, the wife of King George V.
As far as I know there is no difinitive proof of connection with the American and English Bedingfields but it is believed the two families are connected. According to Agnes Bedingfield Lively, descendant of Nathaniel and David Levi Bedingfield, three brothers came from England to America and it is probable that these three are our connection. They were Thomas of Mecklinburg Co. VA, Nathaniel of Sussex Co. VA and Henry of Surry Co. VA.She states that the dates of their wills would make the time about right. She goes on to speculate that the Nathaniel of Sussex might be her 2Xgrgrandfather.She also points to the names of Henry and Thomas being so prevalent with the British Bedingfields.In 1665 there was a Col Thomas Bedingfield listed in the English family.Her search for the Bedingfield name led her to the Library of Congress where she found that the name was not a common one which would further indicate that the two families are connected.
I hope this helps clarify the beginnings of the Bedingfields.