"But I am a worm, and no man" (Ps 22:6). Hebrew tola'at (תֹּולַעת) here is not the generic word for worm: the compound tola'at shani elsewhere names the crimson-dye insect (Kermes/Coccus ilicis) behind the tabernacle's scarlet textiles (so ISBE 1915, "Worm," "Colors"); Ps 22 uses the bare tola'at alone. Ps 22 is the Messianic lament; v. 1 is quoted by Christ on the cross (Matt 27:46). Held honestly: the lexical fact stops there.
The popular sermon illustration, that the female insect fixes herself to a tree to give birth, dies staining the wood crimson, and her residue turns white after three days, is a widely preached natural-history claim of uncertain provenance: preaching tradition, not documented entomology. (Cf. Bullinger, Companion Bible, Appendix 41 for the tradition's fuller telling; the ISBE lexical datum is the load-bearing claim here.)
