Hi Jard,
The original Jevington marriage register, not transcripts, records the marriage of James TICEHURST and Abigail PEARCE 24 December 1778, witnesses John & William Bridgeman. They were married by banns which were called 22 Nov, 29 Nov & 6 Dec.
James was either of the parish of East Dean or Eastbourne. I need to double check that.
Abigail was of Jevington parish and the Pearce/Pierce family is a very old established Jevington family, one of the first families to be mentioned in the 1538 register.
Ann TICEHURST married Edward MILLER 1 July 1783 at Jevington, both otp, witnesses Fanny Ticehurst & William Ballard. Whether this was your Ann is debatable. I think it probably that she is Ann dau of John & Mary who was bap at Jevington 13 July 1756. That would make her 27 yrs on her marriage and I can't find another Ann Ticehurst in the parish.
There is also the marriage of William TICEHURST & Ann SANTHOR/SANTHER at Jevington both otp. This does not appear in the marriage register but has been entered by error by the rector in the register of baptisms and burials.
I don't recall any bastardy records for Richard but will check.
I hope this may be useful. You may be able to link some of the names to see if they are the same family.
jjiggs