You mention wills - does that include Isaac Livermore of Wethersfield, draper, 1730. He mentions a Thomas Livermore of Wethersfield, innkeeper and his son Isaac. There is a baptism of an Isaac in Halsted to Thomas and Mary around 1717.
I don't think is the right Isaac after all.
later in his will Isaac (draper of Wethersfield) mentions Thomas Livermore of Halstead , but does not mention relationship, so he is different from his brother Thomas (innkeeper of wethersfield). Also there is an isaac Livermore and his wife Elizabeth, baptising children in halstead around the same time that Isaac and Ann are baptising theirs in Dunmow etc.
Isaac (draper of Weathersfield mentions quite a lot of Livermores in other places in Essex, but not his relationship to them. He does mention sister Jane Crackenthorp. A Jane Livermore married John Fuller in Halstead in 1709, then a Jane Fuller married Samuel Crackenthorp in Halstead in 1721.
Bothe jane and samuel are mentioned in will of J Livermore of
Bocking Braintree in 1745. Possibly the John Livermore of Bocking mentioned in Isaac of Weatherfield's will.
Also Issac left something to a dissenting minister of Bocking - which makes me wonder whether they were non-conformists and Isaac of Dunmow might have been an NC baptism. The Livermores seem to have form in that respect !
Modified to correct Bocking to Braintree.
Jane Crackenthorp also mentioned in a will of T Livermore of Weathersfield in 1731 - Essex wills beneficiaries index. trying to find if actual wills are on line