I also am willing to share any info on this family, but it seems we've all hit the same dead end. I don't know more about the line, going back, except Joseph's name and his wife or wives. It occurs to me that "Patsy" is a nickname for Martha, so maybe Martha and Patsy are the same woman??? Or, I guess if you were married to a Martha, you might start calling your 2nd wife by a nickname.
Base on the time and location, it also seems that Patsy Gardner Todd very likely is a cousin of Mary Todd Lincoln, Abraham Lincoln's wife. I've tried to track that down and it looks promising, but I've never made the final link.
If Patsy indeed is a separate person from Martha Collins, Patsy's father apparently was William Todd, born about 1779.