The Davy lamp was invented for using in coal mines to protect the miners from the ingition of firedamp :) The articles states it was tested in natural gas, also known as methane or firedamp, so that's not an issue. It appears it would be okay to use around diethyl ether as well, see:
http://www.physics.purdue.edu/reports/demo/heat/Ht-12.html (http://www.physics.purdue.edu/reports/demo/heat/Ht-12.html)
http://tfk.factmonster.com/ce6/sci/A0842924.html (http://tfk.factmonster.com/ce6/sci/A0842924.html)
The Davy lamp is based upon the principle that to be ignited a substance must first be heated to its kindling temperature and that if such heating is prevented combustion will not occur. The flame in the lamp is surrounded by a metal-gauze screen that distributes the heat over a large area so that the maximum temperature of the screen is below the ignition temperature of the flammable gas mixture (e.g., firedamp).
(https://www.thevespiary.org/rhodium/Rhodium/hive/hiveboard/picproxie_docs/000331864-file_kn0s.gif)