'Print' meant any mark made by pressing — text production came only after Gutenberg's invention.
To produce text or images on paper by pressing inked type, plates, or blocks against it; to write in clear, separate letters; a mark or impression made by pressing.
From Old French 'preinte' (impression, mark, stamp), the feminine past participle of 'preindre' (to press), from Latin 'premere' (to press). The word entered English as a noun meaning 'an impression or mark made by pressing' — the print of a foot, the print of a seal. The connection to text production came later, when printing technology (pressing inked
A 'fingerprint' is literally a finger-pressing — the mark your finger leaves when it presses against a surface. The word preserves the oldest meaning of 'print': not text on a page but any mark made by pressing. When Sir William Herschel began collecting fingerprints for identification in India in the 1850s, he was using the word in its original thirteenth-century sense, centuries before Gutenberg.