Where does “inkstand” come from?

I need to work through this chain carefully, as there appear to be some inconsistencies in what's provided. The chain shows: - English stand - Middle English standen - Old French enque - Latin encaustum - Proto-Indo-European steh₂- - (repeated) Proto-Indo-European steh₂- - Ancient Greek καίω - (repeated) Ancient Greek καίω However, the headword is "inkstand" and I'm told the known meaning is unknown. This chain seems problematic - it traces "stand" but doesn't clearly show how "ink" combines with it, and the chain jumps between Latin "encaustum" (meaning ink, from "to burn in") and PIE roots that relate to "stand." For "inkstand" as a compound, the proper etymology would need to show both components. "Ink" comes from Latin

inkstand (English): A small tray containing pens and an inkwell; "by...

Definitions

  1. A small tray containing pens and an inkwell; "by...

Ancestry of “inkstand”, step by step

inkstand traces back through two separate lines of ancestry.

via English stand

StepLanguageWordMeaning
1Englishstand"To position or be positioned physically."; "To...
2EnglishopAn operation; An amateur radio operator; An...
3Englishop shopA shop, usually operated by a charity, to which...
4EnglishopportunityA chance for advancement, progress or profit; A...
5EnglishopportuneSuitable for some particular purpose; At a...
6Middle Frenchopportunité
7Latinopportūnitāsconvenience, fitness
8Latinopportūnussuitable
9LatinPortus” or, later, “Portus Rōmae”}} Portus large artificial harbour of Ancient Rome
10Proto-Italicportusharbour
11Proto-Indo-Europeanpértuscrossing
12Proto-Indo-Europeanper-before, in front; first; to go through
13Proto-Indo-Europeanpr̥tóspassed , crossed

via English ink

StepLanguageWordMeaning
1EnglishinkA pigment -based fluid used for writing, printing...
2Middle Englishynkeink
3Old Frenchenqueink
4Latinencaustumthe purple-red ink used by the later Roman...
5Latinencaustusburned in, encaustic; the encaustic mode of...
6Ancient Greekἔγκαυστοςburned in
7Ancient Greekἐν-in, within; on
8Ancient Greekἐνin, on, at; among; in, at, or during the time of
9Ancient Greekδέρμαskin, hide
10Ancient Greekγλυφήcarving, carved work; hole cut
11Ancient Greek-ῐ́ᾱ{{l|en|-ia}}; "suffix forming abstract feminine...
12Proto-Indo-European-íh₂
13Proto-Indo-European-h₂Creates collective nouns, which refer to groups...
Every word from Proto-Indo-European pr̥tósEvery word from Proto-Indo-European per-Every word from Proto-Indo-European pértus