Etymology
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Words related to ash

*as- 

also *es-, Proto-Indo-European root meaning "to burn, glow." 

It forms all or part of: ardent; ardor; area; arid; aridity; aril; arson; ash (n.1) "powdery remains of fire;" azalea; potash; potassium.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit asah "ashes, dust;" Hittite hat- "to dry up;" Greek azein "to dry up, parch," azaleos "dry;" Latin aridus "parched, dry," ārēre "to be dry," āra "altar, hearth;" Armenian azazem "I dry up;" Old English æsce "ash," Old High German asca, Gothic azgo "ashes." 

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ashen (adj.2)
"made of ash wood," c. 1300; see ash (n.2) + -en (2). Meaning "pertaining to the ash tree" is from 1560s.
Ashley 
fem. proper name, all but unknown before c. 1965; one of the most popular names for girls born in U.S. from c. 1980; evidently inspired by the surname Ashley, Ashleigh (attested from 12c.), which means "clearing among the ash trees," from Old English æsc (see ash (n.2)) + leah (see lea).
anneal (v.)

Middle English anelen, from Old English onælan "to set on fire, kindle; inspire, incite," from on- "on" (see an- (1)) + ælan "to burn, bake," from Proto-Germanic *ailan, "probably" [Watkins] from the same PIE root meaning "to burn" that is the source of ash (n.1). It is related to Old English æled "fire, firebrand," Old Norse eldr, Danish ild "fire."

The -n- was doubled after c. 1600 by analogy of Latinate words (annex, etc.; compare accursed, afford, allay). Meaning "to treat by heating and gradually cooling" (of glass, earthenware, metals, etc., to toughen them) was in late Old English. Related: Annealed; annealing.

ash-bin (n.)
1847, from ash (n.1) + bin (n.).
ashen (adj.1)
"ash-colored, whitish-gray, deadly pale," 1807, from ash (n.1) + -en (2).
ash-heap (n.)
1640s, from ash (n.1) + heap (n.).
ash-pit (n.)
1797, from ash (n.1) + pit (n.1). Older is ash-hole (1640s).
ash-tray (n.)
also ashtray, "receptacle for smokers' ashes," 1851, from ash (n.1) + tray.
ashy (adj.)
late 14c., asshi, "strewn with ashes" (as a sign of mourning), from ash (n.1) + -y (2). From early 15c. as "grayish, of the color of ash."