U.S. States: Nebraska: Red Willow County
I grew up in Indianola, NE. A Mrs. Carmichael was a neighbor, but since I was pretty young at the time she was always "Mrs." and I don't know her first name. It very well may have been your Lizzie, but I don't really know.
Mary Marsh is going to kill me, she's the editor of the paper and wears a hundred hats, but you can contact her at the Indianola News at olanews.swnebr.net. There are plenty of old timers left in town that love to gossip and I'm sure one of them will be able to give you the information you're looking for. Mary probably can put you in touch with one of them.
If all else fails, try the Red Willow County Clerk in McCook, NE. Since the records have always been housed in a brick building, Red Willow is one of the few counties whose records are intact and haven't been burned at some time or other.