Where does “bagle” come from?

bagle (English) comes from English Basset, from French bassette, from Italian bassetta, from Italian bassetto, from Italian -etto, from English -et, from Middle English -et, from Old French -et — Forms adjectives from nouns, indicating the possession of a thing or a quality.

Ancestry of “bagle”, step by step

bagle traces back through two separate lines of ancestry.

via English Basset

StepLanguageWordMeaning
1EnglishBassetThe edge of a geological stratum at the surface of the ground; the outcrop
2Frenchbassetteshort-legged
3ItalianbassettaAn early card game that used only low-value cards
4Italianbassettoshrimp; basset horn
5Italian-ettoAlterative suffix used to form melioratives,...
6English-etUsed to form diminutives, loosely construed
7Middle English-etForms diminutive nouns from nouns; in some words,...
8Old French-etUsed to form a diminutive, masculine noun;...
9Latin-ātused
10Proto-Italic-ātos
11Proto-Indo-European-éh₂tosForms adjectives from nouns, indicating the possession of a thing or a quality

via English beagle

StepLanguageWordMeaning
1EnglishbeagleA small short-legged smooth-coated scenthound,...
2Englishbeadlea parish constable, a uniformed minor official,...
3Middle Englishbedel
4Old Englishbydelpreacher; beadle, apparitor; warrant officer
5Proto-West Germanic*būdilpouch; bag
6Proto-Germanicbūdilazpouch; bag
7Proto-Germanicbeudanąto offer, to bid
8Proto-Indo-Europeanbʰewdʰ-to be awake, be aware
Every word from Proto-Indo-European -éh₂tos