I believe it is a royal writ of Queen Elizabeth requesting that five men (or a subset of them) establish an inquiry into the lunacy of William Bonsall.
The men named are:
John Bullocke Esquire, also said to be:
...ffeodari Com' n(ost)ri Darb'... (see below)
Francis Fitzherbert Esquire
Edward Berisforde Esquire, also(?) Escheator of the aforesaid County
Laurence Wright Esquire
Nicholas Alexander Gentleman
The key part is:
...ad inquirend(um) p(er) sacr(u)m p(ro)bor(um) & leg(alium)
ho(m)i(nu)m de p(re)d(i)c(t)o Com' n(ost)ro Darb' tam infra lib(er)tates q(ua)m ext(ra) p(er) quos rei v(er)itas melius sciri pot(er)it utrum Will(elmu)s Bonsall yoman lunaticus sit aut lucidis [
gaude(t)?/
gaude(at)? -
incomplete at end of the line]
int(er)vallis...That is, they are:
...to inquire by the oath of good and lawful
men of our aforesaid County of Derby, both within the liberties and without, by whom the truth of the matter may be better known, whether William Bonsall yeoman is a lunatic or enjoys lucid
intervals...You might find useful background to the nature of this inquiry in a transcript by Westcott of an indented inquisition which I think is given in reply to a similar writ.
See:
https://latindiscussion.org/threads/inquisition-of-lunacy-dated-1697-part-ii.19357/ The last line of your clip also mentions manors and messuages, goods and chattells and lands and tenements.
********
It appears that John Bullocke may be the Feodary for Derbyshire. See:
https://thelawdictionary.org/feodary/ADDED:
Looking again, I think that as
sit is subjunctive the second verb should be also, meaning it's likely to be
gaude(at).
Therefore, the transcript of this part might more accurately become:
...whether William Bonsall yeoman should be a lunatic or should enjoy lucid intervals...Edited following Watson's Reply #3.