Man may be dazzled by a country flower,Originally Posted by NewHope
And country wine may overpower weak heads.
Country wine is strong enough to get you off of your feet. It's not for the weak ones.
Your sentence sounds kind of backwards: country wine weak heads may overpower. It doesn't sound right but maybe someone was trying to come up with a rhyme and therefore put the word "overpower" at the end of the sentence? In any case, that's what it probably means.