This spelling of Pearse is incredibly rare.
"This is an English surname created from the popular and old - established personal name "Peter", which in medieval England was more usually found as "Piers". "Peter" derives from the Greek "Petros", meaning "rock", and was the name given by Jesus to Simon to be symbolic of steadfastness in faith. St. Peter was the favourite saint of the medieval church, and his name popular throughout Christendom during the Middle Ages. The version "Piers" is the French one, originally brought over by the Normans at the time of the Conquest in 1066. There are at least sixteen different spellings of the name in the modern idiom, from Pierce, Pearce and Piers, to Peers, Peres and Perse. ... The first recorded spelling of the family name is shown to be that of Gilbert Perse, which was dated 1198, in the "London Pipe Rolls", during the reign of King Richard 1, known as "The Lionheart", 1189 - 1199." - The Internet Surname Database
Early references - taken from Chris and Juiie Peterson's Genealogy
3. The following extraction was made from the "Index to the Kent Lay Subsidy Roll of 1334/5," by H.A. Hanley, B.A. and C.W. Chalklin, M.A., B. Litt <http://www.kentarchaeology.org.uk/Research/Pub/KRV/18/7/313.htm> accessed 11 Feb 2016. From this index, the actual entries are found in "The Kent Lay Subsidy Roll of 1334/5," by the same authors <http://www.kentarchaeology.org.uk/Research/Pub/KRV/18/3/058-172.htm> accessed 12 Feb 2016. The second document more fully explains the history of this Lay Subsidy. This was a tax assessed on householders; however, it probably only represents about 50% of the householders since the poorer families were not assessed:
The following families were in Loningborough hundred, close to Wye (where the village of Challock is found):
Pyr, wid. of Gerald, 151 (Hundred of Loniberghe [Loningborough]);
Py(e)r(e)s, Nich., 151 (Hundred of Loniberghe [Loningborough]);
Robt., 151 (Hundred of Loniberghe [Loningborough]);
Thos., 151 (Hundred of Loniberghe [Loningborough]);
Other Pierce listings
Pers, Jn., 162 (Bordenne in Middeltone [Borden in Milton]: Tenth).
Pieres, Geoff., 71 (Hundred of Ryngeslo [Ringslow]);
Hen., 114 (Hundred of Lauerkefeld [Larkfield]);
Jn., 85 (Hundred of Whytstaple [Whitstable]),
Jn, 114 (Hundred of Lauerkefeld [Larkfield]),
Jn,115 (Hundred of Lauerkefeld [Larkfield]),
Jn,117 (Hundred of Maydenestane [Maidenstone]);
Rd., 115 (Hundred of Lauerkefeld [Larkfield]);
Robt., 115 (Hundred of Lauerkefeld [Larkfield]);
Sim., 85 (Hundred of Whytstaple [Whitstable]).
Py(e)r(e)s, Adam, 136 (Vill of Lennes);
Hamon, 86 (Hundred of Westgate);
Jn., 73 (Hundred of Ryngeslo [Ringslow]),
135 (Hundred of Rokesle [Ruxley]);
wid. of Wm., 165 (Bailiwick of West in Middeltone [West in Milton]: Tenth).
2. Jack Cade's Rebellion of 1450: A Database of Names of those Receiving Pardons, taken from Calendar of Patent Rolls Henry VI 5 (1909) pp. 338-374 accessed from https://familysearch.org. This spreadsheet of about 3449 persons was created by Merton Historical Society in September 2014, and is accessible at http://www.mertonhistoricalsociety.org.uk/index.php?cat=morden&sec=!rebels
For more detail on this listing and the event see http://www.kentarchaeology.org.uk/Research/Pub/ArchCant/007%20-%201868/007-03.pdf
Pierce: Richard Piers, Caldyng (sic), Kent, draper
Early Piers references in Faversham, 7 miles north of Faversham
20 May 1572 - from the "general ceesse" in Faversham - Wylliam Pers shoemaker living on Courte street (was not there on 11 Feb 1572)
31 Dec 1573 - "general ceesse" in Faversham: Wylliam Pyers on Courte street; Nycholas Pyers on "Westreete Northe"
31 May 1574 - "general ceesse" in Faversham: Wylliam Pyers on Courte street; Nycholas Pyers on Tanner street
22 Dec 1574 - "general ceesse" in Faversham: Wylliam Pyers on Courte street; Nicholas Pyersse on Westreet