Hi,
Walter and Janet Smith plus family including Peter are listed on the 1841 Census. Peter is listed as 15 years old but his age could have been rounded up. There are 5 other children ranging from 2 months old to 8 ( probably his second marriage depending on when Christian died).
Walter and Jannet Smith are also on 1851 Census with 8 children not including Peter at Cavers
Peter and Margaret Smith are listed on 1851 Census at Cavers with a baby daughter Dorothy 2 months old. He is 25 and a Toll Bar Keeper.
I found that info on
www.freecen.org.uk. Check it out for more details on both Walter and Peter.
But it looks like Christian died around early 1830's and you will need to check Old Parish Records to see if her death has been recorded.
Good luck with your research,
Looby