I have lots of information on the family of William and Elizabeth gleaned from the 1841, 1851 and 1861 censuses. Since Elizabeth was married at the time of these tabulations her maiden name is not known but she did report in 1851 and 1861 that she was born in East Peckham.
The good news is that the Kent Family History Society [http://www.kfhs.org.uk/] has just released their 27th CD-ROM of baptism, marriage and burial data which includes the parish of East Peckham from 1563-1947. As you all know, civil registration of births, marriages and deaths started in the U.K. in 1837 and the census in 1841 so records of our ancestors prior to this time is dependent on church parish registers. I have ordered the CD and will update my family tree and this blog when the CD arrives. Stay tuned!