Closest man I could find, in Navy that died in WWII.
The U.S. Rosters of WWII Dead 1839-1945 is a Lell L. Burnside that is buried at the National Memorial Cemetery of Pacific, Territory of Hawaii (Honolulu) grave E 672 He awas a white male, Protestant and a Seaman 2nd class in the U.S. Navy service number 8897480.
World War II Navy, Marine Corps, and Coast Guard Casualties, 1941-1945 Lell Leonard Burnside, wife Mrs. Vera Lola Burnside New Mexico United States
He enlisted from New Mexico and died May 24, 1945.
Should be listed on a Bernalillo County Court House War Memorial in Albuquerque, NM.
Need more information if this is not the man you are looking for. Where from, approx yr of birth, if born before 1930 then where lived. As another has posted a Burnside is not listed as a casualty aboard the Arizona when sank. And there is no one named Burnside that died at Pearl Harbor Dec, 7th 1941 on any other ship or location.