Chaps,

From Kelly's "Handbook to the Titled, Landed and Official Classes 1905" the most likely family would be that of Sir Francis Burdett, 8th Baronet of Foremark (granted 1618), who was the only son of the 7th Baronet. He was born in 1869, and is listed as a Justice of the Peace for the counties of Derbyshire and Wiltshire [150 miles from each other]. As of 1905 he was unmarried.
He was an ADC to the Governor of Ceylon in 1901, and had addresses at Ramsbury Manor, Wiltshire and also Foremark Hall, Burton -on-Trent, Derbyshire.

So it could be his son (too young?) or a cousin from further back.

There is also an entry for Sir Henry Charles Burdett, (knighted in 1897) the son of Rev. Halford Robert Burdett, born in 1847 and married in 1875, who did lots of good works with various London hospitals, so could be a son of his??

Good hunting!

HB