There isn't any provision for parental leave. Members are entitled to receive their salaries and allowances as long as they continue to be members. For example, if they go on holidays, or they become ill and take time off, they continue to be paid their salaries and entitlements. They don't need to apply formally for any recreation leave or sick leave. Similarly, they don't apply formally for maternity leave. There is no formal system for that, and they continue to receive their salaries and entitlements.
Members do seek leave from the House for the period that they might be absent from the House, and that's a formal resolution of the House to give a member leave for, say, maternity purposes or paternity purposes, or because the person is ill, or whatever the particular issue is that a member might have. That means a member is not then obliged to be attending the House at the times the House is sitting.