Hi Rachey,
Where do you have Jemima? I see her death now in 1854- Jemima Rutkin
I was looking at these possible births- have you checked them?
September 1848. Walsall 17 264. Charles Lingard
1851 Thomas Lingard Rudkin. I think you already have.
September 1853 Walsall 6b 438. Jemima Rutkins
There are some Russill etc births but there is a William Ruthins in March 1856

Of course, they don't help with John's birth!
Heywood