I've observed that Family Search seems to have attached the "Iowa" label to a collection of records from the Plymouth Colony (now Massachusetts) in the 1600s. I've not run across the name "Iowa" attached to records from England in the 1500s, but Liz's report sounds to me like it's essentially the same situation.
When I ran across a batch of misidentified Plymouth records, in a database attributed to FamilySearch, on the NEHGS website, I contacted NEHGS about it because my experience has been that they are efficient about fixing database errors when they are reported. Unfortunately, I've not had the same good experience with FamilySearch; when I wrote to them in April or May 2016 about an entire film from Norlolk, England, that I had seen on findmypast found to be labeled in the FamlySearch index with a completely different location in Norfolk, the reply told me they weren't interested in making corrections: "The indexed records [in the “England-EASy” collection] contain numerous errors. In the future the original records will be available online and will possibly be indexed again, therefore we are not making corrections at this time." Last I looked, those records were still indexed incorrectly.
For me, the bottom line is that I don't trust FamilySearch index entries.