grill n.

"ornamental grating," 1660s, from French grille (fem.) "grating," from Old French greille "gridiron," from Latin craticula "gridiron, small grill" (see grill (n.)). "The distinction in Fr[ench] between grille and grill ... appears to date from about the 16th c." [OED].

early 14c., "a basket or pannier for carrying on the back," originally Scottish and northern England, of unknown origin. Perhaps from Old French greil, grail "a grill," from Latin craticula "small griddle" (see grill (n.)).

The sense of "a framework" for any purpose is attested by 1788, but it is not certain these senses are the same word. Specifically "framework for holding bobbins or spools in a spinning machine" is by 1835.

shallow frying pan, early 13c., apparently from Anglo-French gridil, Old North French gredil, altered from Old French graille "grill, grating," from Latin craticula "small griddle" (see grill (n.)). Griddle-cake is from 1783.