If I'm reading this and the refs correctly, Simon (the OP} is concerned with the wives and offspring of the 3rd Edward*. Do we have dates and locations for him as this seem seems to place him much later than the original info?
Having ploughed through Griffiths and other pedigrees for my Pulestons, I know that dates and names become muddled in some of the genealogies, so I'm always sceptical.
Gadget
I can't find the dates for the latter ones amongst my research as it is packed away somewhere. That said, the last Edward that was abducted was still alive in 1724 and in the below mentioned source is stated as being the great grandson of Sir Edward Lloyd and Ursula Salisbury.
https://archive.org/details/archaeologiacamb1867unse/page/260/mode/2upWhilst I do not have an exact birthdate for Sir Edward Lloyd, his brother John Lloyd (born c.1613 -1671 and was Cannon of Windsor and Chaplin to Charles II in his exile) was age 19/20 when he matriculated from Oxford (according to Oxford alumni records) in 1632 and John was the fourth son of Jenkin Lloyd and Dorothy Walker with his brother Sir Edward being the eldest. This would place Sir Edward at being born around 1600 - 1605. This lines up with Oxford Alumni records showing Sir Edward as being admitted to the inner temple Nov 1619.
If like many males in the early 17th century, Sir Edward married Urusla Salisbury around the age of 25-30 then his son Edward (who married Dorothy Booker) was born around 1630-35. Edward Lloyd (who married Dorothy Booker) is stated in the Oxford Alumni records as being the son of Sir Edward Lloyd MP of Montgomery and probably the Edward Lloyd who entered the inner temple in 1653 which would have him age 19-23 which is about when most people are admitted to a temple per above.
https://archive.org/details/cu31924030498939/page/n169/mode/2upIf Edward married Dorothy Booker at the age of 25-30 then that would place the marriage date at around 1655-1660.
That would, per the OP, place Edward and Dorothy Bookers son Edward being born around 1655-1660 which would place him being born, if the latter 1660 date is used, 2 years older than Catherine Wittewrong's birthdate of 19 April 1662. It would also mean that he married Catherine at the age of 30 of even older.
If Edward married Elvira Parry in about 1680 Edward would have been around 23 and had all his children by her. I have understood that all children were from his marriage to Elvira though. (Could be wrong).
So, dates are as follows according to estimations from the afore mentioned sources:
Sir Edward Lloyd (c.1600-1666) married Ursula Salisbury about 1630.
-Edward Lloyd his son (c.1634-1696) married Dorothy Booker about 1656
--Edward Lloyd his son (c.1657-?) married 1st, Elvira in 1680 and (possibly) 2nd, Catherine Wittewrong on 7th April 1687
---Edward Lloyd his son of his first wife Elvira would be born Abt. 1681 (per your found baptism record) and was living in 1724.
:EDIT:
Dates line up as far as I can see if the source I posted in my link is to be believed. Now, the license record shown in the OP's second post show that Edward Lloyd was a widower and age Abt. 50 (apologies I didn't see the age in the license record before my post). This would mean that Catherine Wittewrong married Edward Lloyd (c1634-1696) after the death if his first wife Dorothy Booker (whenever that was).
It could be (and more likely looking at it now further) that given the amount of Edward Lloyds in this Lloyd family (David's are worse) that the author of that book confused them and showed his son Edward marrying Catherine due to the age difference.
So, I would therefore correct myself and say that Catherine married Edward Lloyd son of Sir Edward Lloyd after the death of his first wife Dorothy Booker and the reason why Catherines fathers consent was needed was due to Edward being abt 50 and Catherine about 27 a large difference in age.
Indecently and out of curiosity, which Puleston's are you related to? I ask because the Jenkin Lloyd mentioned above had a brother Edward Lloyd (not any of the Edwards listed above) who married an Ursula Owen of which her grandmother was Margaret Puleston daughter of Rober Puleston vicar of Gesford, Denbighshire, Wales.