The cone-headed type of this is related to the katydid
[DOC] [TLE] katydid | insect | Britannica.com [PAR] Feb 11, 2015 ... shield-backed katydid  meadow grasshopper  cone-headed grasshopper .... 
Katydids are mostly nocturnal insects related to crickets and... [DOC] [TLE] Subfamily Copiphorinae (coneheaded katydids) - University of Florida [PAR] Key to genera of coneheaded katydids (Copiphorinae).