Where was John Choape born and baptised, I assume you have got the date of 1581 from a parish register entry. It might help if you gave a little more detail about John Choape such as where he was born, who and where he married and where he died, this will save people looking for information you already have and narrow down an area in Devon to start searching for his parents.
There are large gaps in the coverage of parish records for the period you are looking at due to them not having survived, poor record keeping and numerous historical events.
Not all Devon parish records are available at present on Findmypast or any other site. Images of the registers for over 50 parishes are available to browse in Devon FHS Members' Area.
You are extremely lucky to have got back this far as most of us can't due to the lack of being able to find substantive evidence.