וְהִ֖יא מָ֣רַת נָ֑פֶשׁ וַתִּתְפַּלֵּ֥ל עַל־יְהוָ֖ה וּבָכֹ֥ה תִבְכֶּֽה׃
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Ibn Ezra
For the leader (el ha-nechilot): [Regarding the preposition] el (אֶל): It is like al (עַל - upon/concerning) in meaning here. Similar [is the usage in (I Samuel 1:10)]: "And she prayed unto/concerning (al) Ad-nai." [And compare (I Samuel 1:27)]: "Concerning (el) this child [I prayed]." [This is] the opposite [of their usual distinction: el normally means 'to/towards' while al means 'upon/about']. And the [letter] Alef (א) does not interchange with the [letter] Ayin (ע), but rather the letters Alef, Heh, Vav, Yod (אהו"י - the weak letters) are the ones that interchange, and [also] Shin (ש) with Samekh (ס), because they are close in their place of articulation.
Rabbeinu Bahya
I have found the following in Devarim Rabbah 6,3: “the reward for fulfilling the commandment of dispatching the mother bird are children (being granted them).” G’d formulated this reward as follows: ‘if you presently do not have children, I will grant you children.’ How is all this contained in the wording of the text? The Torah writes שלח תשלח את האם ואת הבנים תקח לך, “if you will surely dispatch the mother you will be able to acquire the children for yourself.” This Midrash alludes to the mystical aspect of this commandment I already discussed.
This also clarifies that the emanation (attribute) בינה is the one responsible for the granting or denying of children. This is the meaning of the peculiar expression ותתפלל על ה' reported in Samuel I 1,10 where Channah is described as praying for children. We would have expected the text to say ותתפלל חנה אל ה', that Channah prayed “to the Lord,” not על ה'. The expression על ה' suggests a domain above that of the seven lower emanations, a domain of a world which is totally good, totally enduring, everlasting. This is implied in the words והתענג על ה', (Psalms 37,4) where the psalmist says: “seek favour of the Lord and He will grant you the desires of your heart.” If one penetrates to that emanation, to that attribute of G’d, one will have one’s wish for children granted.
Seeing that this is so the legislation before us concludes with the words למען ייטב לך והארכת ימים, “so that it will be good for you and you will enjoy long life.” We have learned in Niddah 70 “what is a person to do in order to be endowed with wisdom?” Let him ask for mercy from the One Who owns wisdom, for it is written וה' יתן חכמה, “the Lord will grant wisdom” (Proverbs 2,6). The Talmud there continues: “what is someone to do who yearns to have children?” “Let him ask for mercy from the One to whom the children belong.” as we know from Psalms 127,3: “sons are the provisions of the Lord, the fruit of the womb, His reward.”
It is worthwhile to analyse in this saying how the sages arranged the requirements (objects of prayer) in the descending order of the emanations. [Wisdom is stored in the higher emanation חכמה, followed by the next lower emanation בינה, which is the source of children. Ed].
This commandment belongs to the category we described earlier as מקובלות, [the author had divided the commandments into three groups, מושכלות, מקובלות,חוקים, compare beginning of commentary on Parshat Chukat Ed.] Normally, the sages instituted a benediction to be recited prior to the performance of any of the commandments which the author described as מקובלות. We do not know of any such benediction before the performance of this commandment. Why is this so? The reason is that it is not one of the commandments man should strive to fulfill, seek out opportunities to observe. If the occasion arises, the commandment needs to be fulfilled. This is why the whole paragraph is introduced with the words כי יקרה, “if it so happens.” Even if the opportunity arises, this commandment applies only if the finder wants to take the eggs or chicks for himself.
This also clarifies that the emanation (attribute) בינה is the one responsible for the granting or denying of children. This is the meaning of the peculiar expression ותתפלל על ה' reported in Samuel I 1,10 where Channah is described as praying for children. We would have expected the text to say ותתפלל חנה אל ה', that Channah prayed “to the Lord,” not על ה'. The expression על ה' suggests a domain above that of the seven lower emanations, a domain of a world which is totally good, totally enduring, everlasting. This is implied in the words והתענג על ה', (Psalms 37,4) where the psalmist says: “seek favour of the Lord and He will grant you the desires of your heart.” If one penetrates to that emanation, to that attribute of G’d, one will have one’s wish for children granted.
Seeing that this is so the legislation before us concludes with the words למען ייטב לך והארכת ימים, “so that it will be good for you and you will enjoy long life.” We have learned in Niddah 70 “what is a person to do in order to be endowed with wisdom?” Let him ask for mercy from the One Who owns wisdom, for it is written וה' יתן חכמה, “the Lord will grant wisdom” (Proverbs 2,6). The Talmud there continues: “what is someone to do who yearns to have children?” “Let him ask for mercy from the One to whom the children belong.” as we know from Psalms 127,3: “sons are the provisions of the Lord, the fruit of the womb, His reward.”
It is worthwhile to analyse in this saying how the sages arranged the requirements (objects of prayer) in the descending order of the emanations. [Wisdom is stored in the higher emanation חכמה, followed by the next lower emanation בינה, which is the source of children. Ed].
This commandment belongs to the category we described earlier as מקובלות, [the author had divided the commandments into three groups, מושכלות, מקובלות,חוקים, compare beginning of commentary on Parshat Chukat Ed.] Normally, the sages instituted a benediction to be recited prior to the performance of any of the commandments which the author described as מקובלות. We do not know of any such benediction before the performance of this commandment. Why is this so? The reason is that it is not one of the commandments man should strive to fulfill, seek out opportunities to observe. If the occasion arises, the commandment needs to be fulfilled. This is why the whole paragraph is introduced with the words כי יקרה, “if it so happens.” Even if the opportunity arises, this commandment applies only if the finder wants to take the eggs or chicks for himself.
Radak
Upon (al) his house: It is like, to (el) his house. Likewise (I Samuel 1:10), "So she prayed upon (al) the Lord," is like, to the Lord.