You can customise the order in which Staff Members show on the Dispatch Board online, in the top 'Staff Members' container, and in the Staff Schedules tab.
To set a custom order, in the Staff Schedules tab, click the drop-down at the top of the Staff column, then 'Set Custom Order'.

Click and hold the grab bar next to a staff member, and drag up or down to reorder. Once done, click 'Save' to update the order of staff members in both the top container & Staff Schedules tab.

Note that this custom order is saved per user, so everyone in the business can customise the order in which staff show, to suit their role and preferences.