You haven't given a date or place for this baptism, but I suspect it is the one March 4th 1809 at Newcastle upon Tyne, as his wife is given as Mary Lumley of Durham.
Their marriage 21st July 1806 at St Nicholas Durham.
This is some 350 miles away from Hampshire.
No doubt the vicar had never heard of this place, and it was his attempt to try and spell what he heard.
There's a list of Hampshire parishes on wikipedia - none of which look anything like what is written in the baptism entry you have posted.
Have you considered it amy be a capital E? I have seen Es written curved like this, (both myself and an unrelated friend do this), although I'm not sure about the upward stroke that follows it if this was the case.
The nearest I could find in the parish lsiting was East Meon - perhpas the vicar's attempt of 'Esmane' was this. Hampshire and Northumberland dialects would have been very, very different at this time.
Can you see anywhere in this register written by the same person where there is a capital E?
These registers are not viewable on familysearch.