You might have already seen this but a newspaper item refers to James being buried in the family grave, so it's a possibility.
Biggleswade Chronicle
09 Apr 1920
Dunton
Death of Mr J. J. Kidman
We regret to record the death of Mr. James Julian Kidman, formerly of Newton Grove Farm, Dunton, which took place at Castle Camps, Suffolk, on Tuesday, at the age of 72 years, and after an illness of about a year's duration. Deceased was born at Millow, Dunton, and resided in the parish for about 70 years, holding the office of Churchwarden, Chairman of the Parish Council, member of the Rural District Council, and Board of Guardians. Of his family, Mr. Hugh Kidman, Rose Villa, Sutton, Mr. P. Kidman, Sunderland, and Mrs. Carter, Eyeworth, remain in this district, and for them and other members of the family, much sympathy is felt. The remains are being brought to Edworth, Beds. To-day (Friday) for interment in the family grave in the Churchyard.
Biggleswade Chronicle
08 Aug 1930
Biggleswade
Death of Mrs Kidman
Her many friends in Biggleswade and district will learn with regret of the death of Mrs. Louise Kidman, who passed away at Collingham, Newark, on Tuesday. The deceased, who had attained the great age of 83 years, was the widow of the late Mr. J. J. Kidman, of Newton, Dunton. Her husband pre-deceased her by ten years. Deep sympathy is expressed with the family of four sons and four daughters in their bereavement. The members of the family are: Mr H. Kidman, of Clapham, Bedford; Mr P. C. Kidman, of Biggleswade; Mr J. Kidman, of Heybridge, Essex; Mr R. Kidman, of Bedford Park, London; Mrs Carter, of Offley, Hitchin; Mrs Thompson, of Sunderland Farm, Biggleswade; Mrs Tice, of Feltham, Middlesex; and Mrs Day, of Collingham, Newark. The funeral will take place at Edworth Church at 2.30 p.m. to-day (Friday).