You just about have it, John. Donations should also have a MemberID. The relationship should be:
Members::MemberID = Donations::MemberID
In your Donations table, create a new field. Call it sTotalAmount. The 's' means summary field. Select field type of summary and specify 'Total of Amount'. Now create a report in Donations. Let Report Assistant walk you through it. You want sub-summary and grand summary. You want leading part based upon the member and sort by this field as well. As you build the report, it will show you how it will group the records.
Place your summary field in any sub-summary part for a 'total' of that group.
BTW, if you want to give this report to each Member, go to Layouts > part setup and select the Member sub-summary and check 'page break before each occurrence' so each Member's information will print on separate pages.
Thank you so much for your prompt response. I was very much in need of some encouragement. I was about to give up. When I have some time today I will see if I can follow your directions. I may need to get back to you if I get stuck.