Beer comes from the Latin bibere 'imbibe', so just means drink. The Proto-Indo-European root is poi-. From which we also get 'poison, potion and potable'. In Old Church Slavonic it takes the forms: piti, pijǫ, pijęši meaning 'to drink'. I suspect this is also the origin of the Slavic piwo, pivo, pyvo etc but can't be sure.
Ale comes from a word meaning 'bitter' The same root gives us alum and aluminium. Despite what the map says words from this root and meaning 'beer' occur in Slavic and Baltic languages also.
The Spanish '[cerveza]' etc, are "perhaps related to Latin cremor "thick broth," or of Gaulish origin (cf. Middle Irish coirm "beer"). "Connection with ceres (as a drink from grain) is very dubious". I suspect Welsh cwrw (i.e. kooroo) and Cornish Korev is from the same source.
Only two links per post so this is 1 of 2.