As we've gone slightly sideways,,,
Living and working so close to Leek I'd forgotten the vegetable homonym amusement ;)
And I'd never before wondered where the word for the vegetable came from ,,,

   Leeks (Allium ampeloprasum), members of the Alliaceae family.
https://www.sciencedirect.com/topics/agricultural-and-biological-sciences/allium-ampeloprasum

Herbaceous annual plant of the Liliaceae family
https://globalsymbols.com/symbolsets/arasaac/symbols/16390

   That second link gives translations into several languages; seems only the English, Americans & Germans say 'leek' (German 'Lauch').

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Nor had I wondered about the place name.

,,,Leak in the North Riding of Yorkshire, Leake in Lincolnshire and Nottingham or Leek in Staffordshire. All these places are named from the Olde Norse elements "loekr" meaning a "brook".
https://www.surnamedb.com/Surname/Leek

In the Domesday Book Leek was 'Lec'
https://opendomesday.org/place/SJ9856/leek/

btw
Wiki says about 'lake'
   from Middle English lake ('lake, pond, waterway'), from Old English lacu ('pond, pool, stream'), from Proto-Germanic *lako ('pond, ditch, slow moving stream'), from the Proto-Indo-European root *le?- ('to leak, drain'). Cognates include Dutch laak ('lake, pond, ditch'), Middle Low German lake ('water pooled in a riverbed, puddle') as in: de:Wolfslake, de:Butterlake, German Lache ('pool, puddle'), and Icelandic lækur ('slow flowing stream'). Also related are the English words leak and leach.
https://en.wikipedia.org/wiki/Lake#Etymology


Freddy