Reference for Kinnim 1:4
כֵּיצַד מִשֵּׁם אֶחָד, לֵידָה וְלֵידָה, זִיבָה וְזִיבָה, מִשֵּׁם אֶחָד. מִשְּׁנֵי שֵׁמוֹת, לֵידָה וְזִיבָה. כֵּיצַד שְׁתֵּי נָשִׁים, עַל זוֹ לֵידָה וְעַל זוֹ לֵידָה, עַל זוֹ זִיבָה וְעַל זוֹ זִיבָה, מִשֵּׁם אֶחָד. מִשְּׁנֵי שֵׁמוֹת, עַל זוֹ לֵידָה וְעַל זוֹ זִיבָה. רַבִּי יוֹסֵי אוֹמֵר, שְׁתֵּי נָשִׁים שֶׁלָּקְחוּ קִנֵּיהֶן בְּעֵרוּב, אוֹ שֶׁנָּתְנוּ דְמֵי קִנֵּיהֶן לַכֹּהֵן, לְאֵיזוֹ שֶׁיִּרְצֶה כֹהֵן יַקְרִיב חַטָּאת, וּלְאֵיזוֹ שֶׁיִּרְצֶה כֹהֵן יַקְרִיב עוֹלָה, בֵּין מִשֵּׁם אֶחָד, בֵּין מִשְּׁנֵי שֵׁמוֹת:
How is it [that two groups are brought] for one from one designation? [One pair brought for] a birth and [another pair brought for] a birth, [or for] a <i>zivah</i> [a female who has certain types of atypical genital discharges that renders her impure] and another <i>zivah</i> [this is considered] from one designation. From two designations? [A pair brought for] a birth and [another brought for] a <i>zivah</i>. How is it [that two groups are brought] from two women? [A pair brought for] a birth for this one [woman] who gave birth, and [one brought for] this one ]woman] who gave birth, [or for] a <i>zivah</i> for this one [woman] and a <i>zivah</i> for the this one[woman] – [this is considered] from one designation. From two designations? [A pair brought for] a birth for one [woman] and [one brought for] a <i>zivah</i> for the other [woman]. Rabbi Yosi says: Two women who purchased their birds as a mixed group [without specifying which pair belongs to which woman], or they gave the money [to the Kohen without specifying which money is for which woman] he [the Kohen] may offer whichever pair he wants as a sin-offering and whichever pair he wants as an burnt offering. Regardless whether [they are all] from one designation or whether [they are] from two designations.