We don't have synonyms for cat-head yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are fathead, cathead and cat head.
(n) :
Alternative form of cathead. [(nautical) A heavy piece of timber projecting somewhat horizontally from each side of the bow of a ship on which an anchor is raised or lowered, and secured when not used, from its stock end.]
(v) :
Alternative form of cathead. [(transitive, nautical) Synonym of cat (“to hoist (an anchor) so that it hangs at the cathead (noun noun, sense 1.1)”)]
(n) :
Alternative form of cathead. [(nautical) A heavy piece of timber projecting somewhat horizontally from each side of the bow of a ship on which an anchor is raised or lowered, and secured when not used, from its stock end.]
(v) :
Alternative form of cathead. [(transitive, nautical) Synonym of cat (“to hoist (an anchor) so that it hangs at the cathead (noun noun, sense 1.1)”)]