- Soledad's artistic last name, Miranda, was drawn out of a hat. Soledad chose her artistic surname by surprise: she put several surnames on different papers, placed them in a hat, and the "innocent hand" drew that of Miranda.
- Had one younger brother (Armando) and four younger sisters (Ana, Carmen, Mercedes and María Elena).
- She has a son (Antonio) with José Manuel Simões.
- Her pseudonym, Susann Korda, was created by director Jesús Franco from the name of an earlier German film actress, Susanne Korda.
- According to different sources she is either niece, second-degree niece or first cousin of Paquita Rico.
- She was the first-born daughter of Juan Antón Rendón and Mercedes Bueno.
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