One way to hold this footer: it is foot plus -er, and foot has two everyday jobs. A foot is the bottom of something, so the foot of a page is its lowest edge, and the footer is the strip that lives down there and repeats on every page. A foot is also the thing you stand on and measure with, so a foot of length is thirty and a foot is left or right. Add -er to that side and the word stops naming a place and starts labelling a person or a thing by a fact about feet: how many of them tall, or which one they kick with.
From the word’s history
Wiktionary gives this footer as Middle English footer, equivalent to foot plus -er, and points to foot as used in printing for the bottom of a page.
維基詞典說這個 footer 來自中古英文 footer，等於 foot 加上 -er，並且要讀者對照印刷用語裡指「一頁底部」的 foot。
Wiktionary entry 'footer' (noun, etymology 1), packet source_ref kaikki:3f6f69a190036ae4:1113920181
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