THe Free BMD index might help - the 11s are in Wales. I searched for the years and the name Jones, Wm J for you. Do you have access to FIND MY PAST subscription service - it gives immigration records. Do you know his year of coming to US?
You can order these birth certificates fro the General Register office in England - ordering (on-line) the right one will save you money rather than needing to pay for each certifcate.
SurnameFirst name(s)DistrictVolPage Births Mar 1852
Births Jun 1853 JonesWilliam JohnPresteigne11b 156 JonesWilliam JohnCardiff11a 203
Births Sep 1853 JonesWilliam James BradwenAnglesey11b 506
Births Mar 1854 JonesWilliam JamesCarmarthen11a 537
Births Dec 1854 JonesWilliam JebbWrexham11b 296
FreeBMD hasn't yet transcribed the whole index - see here for which years have been transcribed.
Since we haven't yet transcribed the whole index we need more people to help. If you have very basic skills, a computer and half an hour a week, FreeBMD needs you! You don't have to be a good typist - just accurate! Help us and speed up the rate at which free birth, marriage and death indexes become available.