Wiktionary
given her head
vb. 1 (past participle of give someone his head give her her head lang=en nodot=1), (non-gloss definition: indicating a passive voice.) 2 (past participle of give head give her head lang=en nodot=1), (non-gloss definition: indicating a perfect tense.)
Usage examples of "given her head".
Rossiter if he remembered having given her head of staff his stamp album and Mr.
She was wildly responsive, like a thoroughbred mare given her head.
She was not so pleased that I held her hack, tor she knew that she could easily outdistance both Malta and the grey it given her head.