Where does “illy” come from?

I need to work through this chain carefully, though I notice some issues with the data provided. The chain shows: - English ill - Middle English -ly - Old English -līċ - Old Norse íllr - Proto-Indo-European h₁elk- - Proto-Indo-European līg- - Proto-Indo-European ḱóm - Proto-Indo-European ḱóm (repeated) However, there are problems: the headword is "illy" but the chain starts with "ill"; the chain seems malformed (jumping from Old Norse back to PIE roots, with unclear connections); and the meaning is marked unknown. Given the constraints that I must state only what the chain supports and not invent, and that the chain doesn't coherently support a clear etymological path for "illy," I cannot write an accurate one-sentence summary following all the rules.

illy (English): Badly; poorly