It's: m(re)s Lewsey Eyton = m(ist)re(s)s Lucy Eyton
From this alone I can't agree with what you say about the true name. If you wish, please post the PR so I can see for myself.
ADDED:
Compare the first letter of the forename to the Ls in (what is arguably) Leasows and also Lying on the same line.
ADDED 2:
For clarity I have made a small change to my transcription above.
The thing between the m and s in the contracted form of mistress is the same superscript wiggle or loop which supplies the re in the contracted form of presence, as can be seen in most wills of this period.