About surnames in Hamburg changing from patronym to official familyname: https://jewish-history-online.net/article/czakai-family-names
Maybe Yechiels father was Levi/Leib/Leonard/Lion. And he officially adopted that name as his surname. (in Glasgow anglicized to Lyons, maybe just because the immigration officer heard something like son of Leib, or Leib's sohn as Lion(s).
A name change like that could also has happened generations earlier. For business reasons many merchants took on a civic name way before that. In Jewish records usually just find name and patronym.
So you may have to search for surnames that start with Levi/Leib/Lion/Leon (maybe other variants. Mind pronunciation in German and imagine how a Brit would understand it.
Loes Buisman, Amsterdam