- Has two older half-siblings from her father's side: actor Felix Taylor and doctor Rory Eleanor Taylor. Has an older brother, drummer Rufus Taylor, and an older sister, model Tigerlily Taylor.
- Lola's middle name, Leng, was her maternal grandmother's maiden surname.
- Wrote and performed "Moon Runners", the opening track of the Solitary (2015) film, along with her brother Felix Taylor.
- In the 2022 sci-fi film Kepler 62F (2024), she acts along step-mother Sarina Taylor.
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