purim torah in jest - PTIJ: How many names did Sarah have?

We see at least 3 names of Sarah in Sefer Breishit.

1. Sarah (obviously)


2. Yiscah (Rashi to 11:29)


3. Lucy (18:6)

We see Lucy from what Avraham tells her: לושי ועשי עוגות -- Lucy, and make cakes!

Questions:

1. Why was she called Lucy?


2. What other names did she have?


3. Bonus: how did these various names relate to her multiple lives?

Avraham, you've got some 'splaining to do!

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Answer

While the question is a bit broad and should perhaps be broken up into multiple questions, I will do my best to answer.

The names

As is commonly known, Sarah had 4 names Sarai (Genesis 11:29), Sarah (obviously), Yiskah (Megillah 14a), and Lucy (18:6).

However, she is also clearly identical with Avraham's servant Eliezer. In Genesis (14:14), we read

וַיָּרֶק אֶת-חֲנִיכָיו

He led forth his initiates

As Rashi famously explains, this refers to "Eliezer".

חניכיו - חנכו כתיב זה אליעזר שחנכו למצות

Evidently "Eliezer" must be another name for Sarah, since וַיָּרֶק אֶת-חֲנִיכָיו is numerically equivalent to 505; the numerical value of שרה.

The reasons

Sarah is called Lucy, since Lucy לושי has the numerical value of 346, which is identical to the value of לְאִישָׁהּ; for her husband. Sarah was totally devoted to her husband Avraham, and to his proselytising efforts (cf. Rashi to Genesis 12:5).

She is called Eliezer, in reference to her miraculous salvation (Genesis 12:17) from Pharaoh who kidnapped her (12:16). As the verse in Exodus (18:4) states:

וְשֵׁ֥ם הָאֶחָ֖ד אֱלִיעֶ֑זֶר כִּֽי־אֱלֹהֵ֤י אָבִי֙ בְּעֶזְרִ֔י וַיַּצִּלֵ֖נִי מֵחֶ֥רֶב פַּרְעֹֽה

The name of the primary one was Eliezer for the God of my father was my help, and he saved me from the sword of Pharoh.