I thought our Museum had only had a Hurricane replica for a while? (long since removed by owner but I remember it there when I started in 94). Not heard about any ME109 replicas in the area…

There was an ex BoB film replica Me109 as well on the site from 1980 onwards, belonged to a former chairman of the Museum, it departed to Hawkinge If I remember correctly.
This quite possibly is the one referenced above as he used to live in the Solihull/Warwick area at the time.