I had noticed the birth places of the Skidmore family and did wonder if the family were somehow connected to the Cutler family but havnt found a link yet. I will re-look at them.
Ive just realised that David Adams' youngest known sibling was Nathan Adams who was born in 1834 in West Bromwich! The Adams family travelled all over the place with seemingly a child born in each location
By the 1841 census, David Adams is in Liverpool with his father, father's second wife and his 3 siblings.