Baptism for Elijah Herbert in Parish Records:

record_id 12726
Entry Number 180
Year 1820
Month October
Day 8
Parents Surname Herbert
Child Forename Elijah
Father's Forename Blank
Mother's Forename Elizabeth
Place of Residence Woodside
Occupation Servant
Officiating Minister H Berkin
Event Type Baptism
Memoranda base son of
Notes
Register Reference P109 in 1/1
Register Number 23
Place/Chapel Drybrook
Soundex H616

Yes - base born does mean what you think it means!
Regards
Chris