"Apparently, Burgle is backformed from burglar."

Dear Rod: My dictionary confirms this. Also the etymology of burglar is interesting, being comprised of parts meaning "a hired servant of someone who lives in the city."

bur[glar 7b%r4gl!r8
n.
[Anglo-L burglator, altered by assoc. with L latro, thief (orig., hired servant < Gr latris: see -LATRY) < OFr burgeor, burglar; ult. < LL burgus: see BOURGEOIS] a person who commits burglary