Update:
This morning I went to the Case dealer and they had no info on a new connector. All they could do was to sell me a new wiring harness for $486 plus shipping!
I next went to McMaster New Holland in Decatur and these guys really went all out to help. At one point, the owner and three employees were at the computer trying to figure out what connector might work. One employee made several phone calls and finally came up with a part number for me. He spent an hour altogether doing research on my problem.
From his help, I will order my connector and socket contacts from Mouser Electronics (I've ordered from them in the past and they are very good to deal with). Looks like the Plug will be 571-2073041 at $2.25 and the Socket Contact (13 needed) 571-66101-4 is .67 each, for a total of $10.96 plus shipping, much better than nearly $500!
Note that I have purchased a Stihl chain saw and a gas trimmer from McMaster New Holland, plus some smaller supplies, but no tractor or big stuff. I really appreciate them helping me out even though they didn't make any $$ off me today.
I'll post another update when parts arrive and I do the repair.
I think my next stop would be to purchase a couple dozen doughnuts and take by McMaster New Holland in Decatur along with a great big thank you.