According to the ATF database, there are 7 registered FFLs in Eastlake, Ohio.
36105 VINE STREETEASTLAKE, OH, 44095
36081 LAKESHORE BLVD #6EASTLAKE, OH, 440950000
36542 VINE STEASTLAKE, OH, 44095
33851 CURTIS BLVD SUITE 200EASTLAKE, OH, 44095
33050 LAKELAND BLVDEASTLAKE, OH, 44095
33140 VINE STEASTLAKE, OH, 44095
33100 LAKELAND BLVDEASTLAKE, OH, 44095