Brenden, I'm not sure what the full name of "Peach" might be, but you probably mean Mister Lincoln when you say "Abraham Lincoln." Mister Lincoln and Tropicana are not old English roses and they aren't once-bloomers. They're hybrid teas, which should bloom more than once each year, even in Michigan. Unless they're planted in deep shade, never get watered, and are growing in terrible soil with no fertilizer, they should have bloomed at least 30-40 times in the last 20 years.
I am concerned when I look at your photos. There's so much dead wood in those pictures. In fact, I'm not sure I see any live wood. Do you give them any protection in winter? Mister Lincoln is hardy to zone 5, but Tropicana is hardy only to zone 7 and might need extra protection to stay alive in winter.
