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I am doubtful about the surname being Dessdale. I wonder if it is Depdale (= Deepdale?). I think it could be a p in the middle rather ss. But here it is regardless ...

Thomasina Depdale[?] dum vixit
de hingh(a)m decessit intestat(a) xxiiij^o die
Mens(is) et Anni suprascriptorum Ema(naverun)t l(itte)re
Adm(in)istracionis bonorum eiusd(e)m direct(e) Charolo
Bannester filio naturali dicte defuncte Qui
habet ad exhibend(um) verum plenu(m) et integrum
Inventariu(m) bonorum &c citra festum om(n)iu(m)
Sanctorum prox(ime) futur(um) &c

Thomasina Depdale[?], whilst living of Hingham, died intestate on the 24th day of the abovewritten month and year. Letters of administration of the goods of the same were issued, directed to Charles Bannester, the natural son of the said deceased, who has to submit a true, full and complete inventory of the goods etc. before the Feast of All Saints next to come etc.

Esc. stands for Escheat and shows that there was an Inquisition Post Mortem for the relevant person at the given date. IPMs are held at the National Archives and name-indexed in Discovery - see here ...
https://www.nationalarchives.gov.uk/help-with-your-research/research-guides/inquisitions-post-mortem/

They've also been calendared and abstracted online - see here ...
https://www.medievalgenealogy.org.uk/sources/ipm.shtml

Br. is probably John Bridges' History and Antiquities of Northamptonshire ...
https://www.familysearch.org/library/books/records/item/49117-the-history-and-antiquities-of-northamptonshire-vol-1?offset=235659

Fermor - I'm less sure about this. 'Evidences' usually refers to a collection of documents, perhaps in this case the estate papers of the Fermor-Hesketh family at Northants Archives, as catalogued here?
https://discovery.nationalarchives.gov.uk/details/r/N13551873

You could ask Northants Archives for more information.

Being 'received into the church' is part of the sacrament of baptism, which is why it may be noted in the register for those baptised at home. It's not simply a record having attended church.

Looking at the image (rather than Ancestry's transcription), I think he served for only 15 months, 5 June 87 to 4 Sep 88. Discharged 'Shore per order & request'.