This is the picture book version of Floella‘s biography, illustrated by Diane Ewen (not the linked version).
As a child in Trinidad, Floella‘s father was invited to move to Britain. Her mother and younger siblings followed later, with Floella and her older siblings travelling a year or so later again. England (and the welcome) was not necessarily what she‘d expected, but she learnt to love the place. And yes the ending made me cry.