This entry confuses 2 John Jarmans and doesn't provide a source for his supposed birth date. However, the images are of interest.
One shows a transcript of the certificate of removal for John Jarman of Llangurig, Montgomeryshire, Wales presented to the 20 5 mo [Jul] 1683 Radnor Monthly Meeting in Pennsylvania. It mentions John, his wife Margaret, and their 2 children Elizabeth and Sarah. (The handwritten record can be seen here, but it is extremely difficult to read.)
The second image is a transcript of the record of his burial on 14th day of the 12th month [Feb] 1697.
Other images relate to the births of children of a different John Jarman.