falcō (Latin) comes from Proto-West Germanic falkō, from Proto-Germanic falkô, from Proto-Indo-European pōl-, from Slovincian pól, from Proto-Slavic polъ, from Proto-Indo-European (s)pelH- — to split off, separate; to chop, to separate.
Ancestry of “falcō”, step by step
falcō traces back through two separate lines of ancestry.