Hello Marjorie,
I tries to contact you by email a year ago regarding your post mentioning Alfred Gilbert, my wife's grandfather, but received no reply. I have just noticed your query regarding Robert Burney and while I have no more information on ancestors I will mention that there was another brother, William Barney junior, born about 1801. He appears consistently in the censuses from 1841 to 1871, as a mariner in 1841, then for 20 years as a sawyer and in 1871 as a seaman merchant navy. He died in 1875. in 1851 Robert's daughters Frances Elizabeth and Susan Ann were with him while their father was at sea and their mother was with her mother Elizabeth McLevey, mistranscribed as Leng. I have a list of Robert's ships and voyages researched by a descendant of Susan Ann.
Regards, Jack Trappe