Generally the only other info the Flitwick parish register transcript might tell you is the parish either party were living in at the time of the marriage.
For that year the actual marriage entry available at Beds Archives would also tell you that (note this is not necessarily the parish they were born), plus their status, ie. bachelor, spinster, widow, widower. It won't have ages or parents names. The only other data is the names of 2 witnesses which may be of relatives
Now is this Anne Potter the one baptised 19/03/1786 at Flitwick to Andrew & Elizabeth Potter ? If so we're looking for a John Odell born around the same timeframe. They seem to have baptised son James on the same wedding date having been born 25/10/1805. Do you know what became of him ?. Did he marry a Kitty/Catherine