I've found 2 possible pieces of info re the family in censuses, there is a discrepancy with dates/ages, though this can happen:
1851 Thomas Bailey 51 (born 1801), living at Dawley with son Richard 14 - also daughter Sarah Ann and son-in-law living there.
1871 Thomas 64 (this Thomas was born about 1807 here), though living at Old Park, Dawley with son Richard 34 and his wife Jemima and their offspring:
Enoch, Mark and Margaret
2 other children William and Abraham listed as Thomas' offspring, but that could be a misprint.
1861 nothing concrete in the censuses
There is a Richard Bailey b. 1837 (Apr) parents Thomas Bailey and Margaret.
Richard Married Jemima Guy in 1859 in Wellington, Shropshire.
I found 2 marriages for Thomas Bailey to a Margaret:
1826 Madeley (this is not unusual for Ironbridge, Dawley etc as Madeley is the main Parish and dreadful to research too) to Margaret Smith April 1826 and Upton Magna to Margaret Mathers May 1830.
Hope this gives you a start.
If you need any more, just ask.