Where does “bedroll” come from?

I can't write this etymology with confidence because the chain provided appears corrupted or incorrect. Latin "rotula" and "rota" (meaning "wheel") don't plausibly connect to English "bed" or "bedroll." A bedroll is a bundle of bedding, which should derive from "bed" (sleeping furniture), not from wheel-related Latin roots. Could you verify the chain? A reliable etymology would trace bedroll → bed + roll, with "bed" coming from Old English "bedd" and "roll" from Old French "rolle."

bedroll (English): A roll of bedding that can be carried when hiking...

Definitions

  1. A roll of bedding that can be carried when hiking...

Ancestry of “bedroll”, step by step

bedroll traces back through two separate lines of ancestry.

via English bed

StepLanguageWordMeaning
1EnglishbedA piece of furniture, usually flat and soft, on...
2Middle EnglishbedA place of rest or sleep
3Old Englishbeddbed
4Proto-West Germanicbadibed
5Persianبدیbadness
6Persianبدbad; not good; evil; poorly, badly
7Middle Persian𐭯𐭥𐭭to; at; in
8Proto-Iranianpati-against, toward; lord
9Proto-Iranian*rādi-
10Proto-Iranian*rād-
11Proto-Indo-IranianHraHdʰ-
12Proto-Indo-EuropeanHreh₁dʰ-to think; to arrange; to succeed, accomplish
13Proto-Indo-Europeanh₂reh₁-to think, reason; to arrange
14Proto-Indo-Europeanh₂er-to fit, to fix, to put together

via English roll

StepLanguageWordMeaning
1EnglishrollTo cause to revolve by turning over and over; to...
2Middle Englishrolle
3Old Frenchrolleregistration
4Medieval Latinrotulusa roll, list, catalogue, schedule, record, a...
5Latinrotulaa small wheel; roll
6Arabicرَطْل
7Classical Syriacܪܝܛܠܐ
8Classical Syriacܠܝܛܪܐlibra, pound
9Frenchlitrelitre
10Medieval Latinlitra
11Ancient Greekλίτραlitra, a Sicilian silver coin; libra, a unit of...
12Proto-Italic*līðrāingot
Every word from Proto-Indo-European h₂er-Every word from Proto-Indo-European h₂reh₁-Every word from Proto-Indo-European Hreh₁dʰ-