The marriage transcript says Thomas Burrows of St Botolph's London, bachelor married Jane Parker, spinster of Eaton Socon, married by licence, but there is no entry on the marriage licence transcript. This is the only Burrows entry in the transcript (up to 1812) [& no Burroughs either]
Whilst at Beds Archives I looked at the microfilm - they both sign their names and witness are Mary Parker & John Humbley (both signing their names)
The marriage transcript has an entry on 18 Sept 1804 for John Humbly of Hail Weston, bachelor to Ann Parker, spinster of Eaton Socon, again by licence, and again not listed in marriage licence transcript.
Another ES marriage on 5 Sept 1804 of Joseph Parker, bachelor of ES to Mary Seymour, spinster of ES
Now was this the Mary Parker, witness to the Thomas Burrows/Jane Parker marriage and are Joseph, Jane & Ann from same family?
As to Thomas Burrows you need to check out his origins from London parish of St. Botolph
** PS Is he the Thomas Burrows, abode Houndsditch, buried at St Botolph's without Aldgate on 2 Sept 1833 aged 77? so born c. 1756