no-one in England actually calls this "broiling".

Although it's just occurred to me that they must have done as little as 140 years ago: "'Brillig'", says Carroll, "derived from the verb to broil, the time of broiling dinner, i.e. the late afternoon". (The Annotated Alice, p191)

OED lists it as still current, but cannot dig up a 20th-century usage from this side of the Atlantic.

Peter