Hi Jan,
Your last question first - when I do links, I highlight the web address in the address bar at the top, by right clicking, then click "copy". Then you can "paste" into whatever you want.
I saw the burials too, and when I saw John Osborne's date of death (and age!!) realised he should be on the 1841 census. I don't see why it shouldn't be him ....but I'd disagree that the Elizabeth is his daughter - more likely the wife of Thomas.
The reason I say that is there was a burial in Lakenham, in 1820, of an 18 year old Elizabeth Osborn.
The Mary Puncher baptism you found could well be right - but at the moment I'd say it was a "definite maybe"

Freereg, Ancestry and Family Search have indexed many parish records - but not all .....
And there's always the danger of mis-transcription, especially with a name like Puncher/Punchard - the "P" could even be mis-transcribed as a "D"
The other interesting thing is that son, Thomas was a publican - that might yield some more clues.
Yorkslass