I enjoyed this programme, partly because of Sheridan's personality - her enthusiasm for what she was discovering seemed unforced, and she didn't keep jumping to conclusions out loud. I also liked the return to her parents with all the information (for all that it was padding to bring the programme to full length.)
The one point that annoyed me was when the researcher said that Benjamin's family were 'in the workhouse' at the time of his birth - where was the proof? Workhouse records? Am I wrong in thinking that it was possible for women to be delivered in the workhouse hospital without the whole family being there? They do seem to have moved around rather a lot from the censuses/children's births, mostly in the Notts/Lincs/Yorks area, although with one child born London.