Hmm - lots of Hudsons but no relevant ones to John+Ann or John+Mary.
I checked on just John - 1790-1810, it seems there were just 4 Hudson families with father's name John having babies: John + Christian in Notts St Mary, John +Millicent ditto; John + Eliz. In Eastwood and also in Arnold. (but remember not al parishes are represented on this cd)
1810-1830: 1 child, John and Ann, Newark (1826) - John is listed as a traveller; 6 to John and Ann in Skegby (FWK, 1822 on); then other families in Radford, Stapleford, Sutton cum Lound, Worksop, Eastwood, Notts St Marys, Clayworth, Babworth - all with father John but no Anns or Marys as mother.
None of the Johns is listeed as an ag lab either - FWK, lacemaker, butcher, blacksmith, farmer, and the traveller as mentioned.
It doesn't take a moment to check so don't worry about time, the search facility is pretty easy to use. Do you want further details of any of the above? Or any other searches doing? (other names, marraiges, burials?)