Part of the profile also says Cornwall.
Googling found ' He was baptised 1558 in Illogan, referred to as Richard of Trewynnard, buried 1582 St. Erth Parish, wife Alice Harry, daughter of John Harry of Illogan Parish. She afterward married Thomas Chicose, son of John Chicose of St. Erth Parish. Apparently only one son (?) John Harry, alias Nance, yeoman of Illogan 1603.' http://family.beacondeacon.com/nance.htm
Then I looked at baptisms and marriages in St Erth, Cornwall but there isn't a Chicose surname there either. (nearest I found was Brancose). I tried Chicose with various common initials (W, R, T, H, J) in the person search on the Cornwall OPC and found a J Chicose in the parish of Gwennap in 1641/2 so the name does exist but at least under that spelling there aren't many of them about.
The OPC for Cornwall is here. You can search the data base by name or just for a date period along with the name of the parish (NB St Erth doesn't work, Erth, St does)
In a fairly quick search, the only thing I have been able to find is that there was a Nance family being baptised in Illogan in the 1550s to 60s and that there was a Richard Nance, son of John baptised in St Kervan on 9th Sept.1610.
The coverage for Cornwall is quite good with many registers dating from the earliest registers. http://www.cornwall-opc-database.org/coverage/coverage-by-parish/
You can also contact the online Parish Clerks who could tell you if there are earlier ones not yet transcribed.