Tosefta do Kapłańska 6:16

[The Mishnah, Sot. 3:6, states, "And [as to] all those married to Kohanim, their meal-offerings are burnt." The Tosefta comments:] [As to] all those married to a Kohen, whether she is a Kohen, whether she is a Levite, whether she is an Israelite, her meal-offering is not eaten, because there is a "partnership" in it (i.e., her husband, the Kohen, has a share in it, and a Kohen's meal-offering is never eaten (Lev. 6:16)). But [by the same token,] the entire [meal-offering] is not offered upon the fire [at once] because there is a partnership in it. How so? He consecrates the handful by itself, and he consecrates the remainders by themselves. Rabbi Elazar son of Rabbi Shimon says, he consecrates the handful by itself, and the remainders he scatters.