Burney is a rare boys' name that was most common in the 1930s and has all but disappeared.
Burney is predominantly a boy name. It last appears in U.S. records in 1980. Burney was first reported in SSA data in 1882 and peaked in 1930 (21 births).
| Year | U.S. births | U.S. + territories | ♀ Rank | ♂ Rank |
|---|---|---|---|---|
| 1980 | 5 | — | — | #6,377 |
| 1979 | 5 | — | — | #6,172 |
| 1975 | 6 | — | — | #4,865 |
| 1974 | 5 | — | — | #5,305 |
| 1973 | 6 | — | — | #4,569 |
| 1971 | 11 | — | — | #2,995 |
| 1970 | 5 | — | — | #4,805 |
| 1969 | 6 | — | — | #3,998 |
| 1968 | 6 | — | — | #3,732 |
| 1967 | 6 | — | — | #3,602 |
| 1965 | 12 | — | — | #2,383 |
| 1964 | 5 | — | — | #4,118 |
| 1963 | 13 | — | — | #2,314 |
| 1962 | 10 | — | — | #2,692 |
| 1961 | 13 | — | — | #2,332 |
| 1960 | 8 | — | — | #3,124 |
| 1959 | 16 | — | — | #2,045 |
| 1958 | 12 | — | — | #2,382 |
| 1957 | 14 | — | — | #2,196 |
| 1956 | 16 | — | — | #2,023 |
| 1955 | 11 | — | — | #2,447 |
| 1954 | 10 | — | — | #2,610 |
| 1953 | 10 | — | — | #2,553 |
| 1952 | 10 | — | — | #2,536 |
| 1951 | 9 | — | — | #2,685 |
| 1950 | 18 | — | — | #1,751 |
| 1949 | 18 | — | — | #1,763 |
| 1948 | 17 | — | — | #1,826 |
| 1947 | 16 | — | — | #1,928 |
| 1946 | 18 | — | — | #1,697 |
| 1945 | 11 | — | — | #2,143 |
| 1944 | 15 | — | — | #1,818 |
| 1943 | 19 | — | — | #1,645 |
| 1942 | 12 | — | — | #2,161 |
| 1941 | 16 | — | — | #1,765 |
| 1940 | 7 | — | — | #2,909 |
| 1939 | 13 | — | — | #1,969 |
| 1938 | 7 | — | — | #2,900 |
| 1937 | 12 | — | — | #2,098 |
| 1936 | 15 | — | — | #1,812 |
| 1935 | 17 | — | — | #1,715 |
| 1934 | 16 | — | — | #1,790 |
| 1933 | 21 | — | — | #1,504 |
| 1932 | 15 | — | — | #1,929 |
| 1931 | 6 | — | — | #3,439 |
| 1930 | 21 | — | — | #1,607 |
| 1929 | 14 | — | — | #2,110 |
| 1928 | 16 | — | — | #1,971 |
| 1927 | 13 | — | — | #2,311 |
| 1926 | 11 | — | — | #2,591 |
| 1925 | 16 | — | — | #2,017 |
| 1924 | 18 | — | — | #1,901 |
| 1923 | 18 | — | — | #1,884 |
| 1922 | 16 | — | — | #2,053 |
| 1921 | 18 | — | — | #1,916 |
| 1920 | 17 | — | — | #1,971 |
| 1919 | 19 | — | #4,926 | #2,164 |
| 1918 | 18 | — | — | #1,833 |
| 1917 | 12 | — | — | #2,303 |
| 1916 | 16 | — | — | #1,863 |
| 1915 | 18 | — | — | #1,669 |
| 1914 | 14 | — | — | #1,697 |
| 1913 | 14 | — | — | #1,454 |
| 1912 | 10 | — | — | #1,632 |
| 1909 | 6 | — | — | #1,294 |
| 1908 | 6 | — | — | #1,236 |
| 1907 | 7 | — | — | #1,114 |
| 1905 | 6 | — | — | #1,113 |
| 1902 | 5 | — | — | #1,166 |
| 1900 | 5 | — | — | #1,344 |
| 1897 | 8 | — | — | #797 |
| 1892 | 8 | — | — | #808 |
| 1888 | 7 | — | — | #827 |
| 1885 | 7 | — | — | #774 |
| 1882 | 5 | — | — | #961 |