We do not have invoices associated with these deposits.
Point blank, whatever I enter into the deposit field pmt method does not transcend to any report so therefore, there is no answer to my issue because it doesn't exist.
I love QBs.
THANK YOU for your response.
RE: We do not have invoices associated with these deposits.
It doesn't matter. And, that's a very rare thing in any case. Invoices are rarely included directly in deposits.
RE: Point blank, whatever I enter into the deposit field pmt method does not transcend to any report so therefore, there is no answer to my issue because it doesn't exist.
The payment methods entered on deposit detail lines appear on every report that displays the detail lines. You can prove this to yourself by opening one of your deposits and then picking Reports | Transaction Journal from the QB menu. Then add the Pmt Method column.
To test it I created this deposit by adding line items to it using an income account, no name (so you can be sure there is no invoice involved), and then running the Transaction Journal report for the deposit:

You can see that the first line of the deposit, the Checking account line, does not have a Pay Method. I expect that is the line from your report.
Any report that shows detailed transaction rows from the deposit will show the Pay Method.
For example, if I create a custom Transaction Detail report for the date of the deposit, I see this detail:

To create a similar report in your file, which will show the Pay Meth, start at Reports | Custom Reports | Transaction Detail.