Child’s disability
A. No. The employer’s statutory duty to make reasonable adjustments is owed only to the disabled worker and not to anyone else, such as a parent.
However, even though your employer is not obliged to change your hours as a reasonable adjustment under the Equality Act 2010, you do have other potentially useful rights.
In particular, you are entitled to make a flexible working request to change your hours, which your employer can only reject for one of a list of specific business reasons.
www.acas.org.uk/media/pdf/1/a/The-right-to-request-flexible-working-the-Acas-guide.pdf