Tosefta על גיטין 123:2

Rabbi Yosei ben HaMeshullam testified in the name of Rabbi Natan his brother in the name Rabbi Elazar Hisma, that we [chaverim] do not make Tahorot (i.e., foods requiring a state of ritual purity) for an am ha'aretz (i.e., a Jew who is not scrupulous in his observance, including the laws of purity and tithing). [In addition], do not make him ritually pure Terumah dough (i.e., dough that has been set aside and consecrated to a Kohen (a Jewish priest), presumably, even if the am ha'aretz himself is a Kohen). But one can make him ritually pure but unconsecrated dough in a state of purity, separate Challah (i.e. the Kohen's portion of the dough) from it, and give it to him inside a K'fisha [=כפישה, an inverted basket of twigs or on a tray (which would not be susceptible to impurity), see Jastrow] and an am ha'aretz can come and take this and that [the K'fisha and the dough]. Do not make him ritually pure Terumah olives (i.e., olives that have been set aside and consecrated to a Kohen, presumably, even if the am ha'aretz himself is a Kohen) (see Tos. Terumot 9:10; Y. Ter. XI.3.3), but one can make him ritually pure but unconsecrated olives, separate from them the priestly portion, and give to him inside a vessel of a chaver (see above Tos. Demai 2:2), and the am ha'aretz can come and take both of them [the olives and the vessel].