Mishnah Parah 5:3: A [dried and hollowed] gourd that was immersed in water that is unsuitable for sanctification, we sanctify [water for the ritual] in it as long as it has not yet become impure. Once it becomes impure, we do not sanctify in it [because we are concerned that it will emit invalid water into the sanctified water]. Rabbi Yehoshua says: If you allow it to be used for sanctification from the start [before it became impure], so too at the end [after it became impure] may you sanctify in it. If you do not allow sanctifying in it at the end, so too not at the beginning. Either way, one should not add into it [already] sanctified water.

קֵרוּיָה שֶׁהִטְבִּילוּהָ בְמַיִם שֶׁאֵין רְאוּיִין לְקַדֵּשׁ, מְקַדְּשִׁין בָּהּ עַד שֶׁתִּטְמָא. נִטְמְאָה, אֵין מְקַדְּשִׁין בָּהּ. רַבִּי יְהוֹשֻׁעַ אוֹמֵר, אִם מְקַדֵּשׁ הוּא בָהּ בַּתְּחִלָּה, אַף בַּסּוֹף יְקַדֵּשׁ בָּהּ. אִם אֵינוֹ מְקַדֵּשׁ בָּהּ בַּסּוֹף, אַף לֹא בַתְּחִלָּה. בֵּין כָּךְ וּבֵין כָּךְ, לֹא יוֹסִיף לְתוֹכָהּ מַיִם מְקֻדָּשִׁים:

Mishnah Parah 5:4: A tube which was cut for the chatat [as a vessel in which to sanctify the water with the ashes], Rabbi Eliezer says: it should be immersed immediately; Rabbi Yehoshua says: it should be made impure [first] and then immersed. Everyone is valid to sanctify [the water for the ritual, by mixing it with the ashes] except for a deaf-mute, a shoteh, and a minor. Rabbi Yehuda validates with a minor and invalidates with a woman or an androginos [person (or animal) with both male and female sexual organs. It is halachically uncertain whether such is is male, female or, perhaps, has a uniquely defined halachic gender].

שְׁפוֹפֶרֶת שֶׁחֲתָכָהּ לְחַטָּאת, רַבִּי אֱלִיעֶזֶר אוֹמֵר, יַטְבִּיל מִיָּד. רַבִּי יְהוֹשֻׁעַ אוֹמֵר, יְטַמֵּא וְיַטְבִּיל. הַכֹּל כְּשֵׁרִים לְקַדֵּשׁ, חוּץ מֵחֵרֵשׁ שׁוֹטֶה וְקָטָן. רַבִּי יְהוּדָה מַכְשִׁיר בְּקָטָן, וּפוֹסֵל בְּאִשָּׁה וּבְאַנְדְּרוֹגִינוֹס: