[f. COTE sb.1 + -FUL.] As many as fill a cote.
1865. Pall Mall Gaz., 15 May, 11/1. As a hawk would treat a coteful of pigeons if he found it convenient to pass the night among them.
1904. N. Y. Times, 14 June, 16/5 (heading), Poisoned 70 Homing Pigeons. Coteful of Valuable Brooklyn Birds Wiped Out by Paris Green.