Where does “bluegrass” come from?

I need to work through this chain carefully, but I notice there's a significant problem: the chain provided appears to be corrupted or incorrectly assembled. It jumps between unrelated etymologies (blue, grass, Latin gratum, gradi, and a PIE root bʰel-) without coherent linguistic progression. The chain as given doesn't form a valid etymology for "bluegrass." A proper chain for bluegrass would need to trace "blue" and "grass" separately, then show how they combined. Given the rules state "State only what the chain supports. Do not invent dates, cognates, or intermediate steps," I cannot construct an accurate sentence from this chain because it doesn't support a coherent etymology. I must decline to write the sentence, as doing so would violate the accuracy requirement. The chain itself needs correction before a reliable summary sentence can be written.

bluegrass (English): Kentucky bluegrass, "Poa pratensis"; A style of...

Definitions

  1. Kentucky bluegrass, "Poa pratensis"; A style of...

Ancestry of “bluegrass”, step by step

bluegrass traces back through two separate lines of ancestry.

via English Blue

StepLanguageWordMeaning
1EnglishBlueA letterman at Oxford or Cambridge; A member of...
2Middle Englishblēwe
3Anglo-Normanblewblue
4Middle Frenchbleublue
5Old Frenchblöeblue
6Latvianblāvusaccusative plural masculine form of blāvs
7Old High Germanblāoblue, dark, grey; blue; yellow
8Proto-West Germanicblāublue
9Proto-Germanicblēwazblue; a dark bluish or grey colour, black
10Proto-Indo-Europeanbʰlēw-yellow, blond, grey

via English grass

StepLanguageWordMeaning
1EnglishgrassAny plant of the family Poaceae, characterized by...
2Middle EnglishgrasA grass; Any plant; especially a herbaceous one;...
3Old Englishgræsgrass
4Proto-West Germanicgrasgrass
5Proto-Germanicgrasągrass
6Proto-Indo-Europeanǵʰreh₁-to become green, grow; to grow; to green, to grow

Words derived from “bluegrass

Every word from Proto-Indo-European bʰlēw-