Hi
Bewdley registers in the Kidderminster district. the best link for this is
http://www.fhsc.org.uk/genuki/REG/I would be surprised if this is the same Charles as Beoley is quite a different place to Bewdley, even if it is in the same county.
I can't help with the 1851 census but in the 1841 census for Bewdley there is a Thomas Pool, labourer, living Welchgate/Roadside in a family of 3 males and 5 females.
The IGI is not very good for parish records from Bewdley at this time but you might have luck if some one can check the BVRI for you. It will most likely be under Ribbesford if it is there - then again there were some independent churches too.
I'm not saying that the Beoley entry is the wrong one but I do think you should be careful as he says Bewdley in 1861 and 1881
