Is there a way I can be compensated for the home care I am giving my wife?

Are you a Vet that served during Wartime? If so, you maybe able to get Aid and Attendance for her. Call your local VA office and ask.

Here is an informative article from the home page of this forum:

https://www.agingcare.com/articles/how-to-get-paid-for-being-a-caregiver-135476.htm

Does she have an account that is in her name or does she get a check from Social Security or a pension, retirement of any kind? If so she can pay you from her funds. If this is what you do have a caregiver agreement that will spell out whet you do and the amount you will get paid. And since you should not do all this yourself other caregivers that are hired should also be paid from her funds.

You can check with your county or the va if she’s a veteran, but in general I’d say no. Especially for a spouse.