Each person (including children) needs to file a separate application. Based upon your text, the recommended strategy is...
- Your wife applies first and records her GWF number. She schedules her biometrics enrolment on a day that appears totally open.
- You apply second and put your wife's GWF number in the remarks section of the application and explain that you are travelling together.
If you cannot schedule biometrics at the same time, make two different appointments but show up together and ask if they can accommodate you. No guarantees, but sometimes it works.
Note: only the primary needs to submit financial evidence. This is pointed out in the Supporting Documents Guide.
if you are applying as a family/group you do not need to provide multiple copies of the same documents