There is a burial record for a Zophar Lyons who is too young to be the father of Rev. James. Maybe a relative, though. His dates are 1769-1844 and he was buried originally at the Lyons Farm Baptist Churchyard. This is from FindAGrave.com:
Lyons Farms Baptist Church was organized on April 16, 1769. It was located at Elizabeth Avenue and Lyons Avenue, Newark, NJ. It later became the Elizabeth Avenue Baptist Church.
The Church was organized by eight men and four women, eleven of whom brought certificates from the Scotch Plains Baptist Church and one from the First Baptist Church of New York City.
The church building was completed in 1793 even though the edifice was built in 1768. During the American Revolution the church was used as a hospital. The building saw the second edifice in 1871 and the third in 1907.
A burying ground accompanied the church with the oldest tombstone bearing the name Ichabod Grummon, who died October 29, 1794. The last burial was made in 1865.
Since then the internments have been moved to Evergreen Cemetery in Hillside, Union, NJ.
Hope this helps! -NGP