The William who was baptised on 23rd February 1727 at Podington has parents John and Elizabeth.
As per Podington parish registers transcript...
William 23 Feb 1727-28 ...son of John & 'Hon' Elizabeth Livesay, esq
This pair baptised other children as so....
5 Dec 1723 St.John
23 Dec 1724 Mary - buried 28 Mar 1725
28 Nov 1725 Charles
14 Dec 1726 Elizabeth
19 Sep 1729 Jane
20 Oct 1731 St.Andrew
9 Aug 173 'Barbary' (most likely Barbara)
John Livesay, esq buried 21 Oct 1751
St.John Livesay, esq of Hinwick Hall buried 14 Dec 1756
William Livesay, esq of Hinwick Hall buried 22 Feb 1757
St.Andew Livesay, esq buried 22 Feb 1767
** Elizabeth wife of John Livesay, esq of Hinwick, Podington buried at Bletsoe on 2 Jun 1735
Also burial at Podington on 25 Feb 1717-18 of Major General John Livesay. The Major-General left Hinwick Hall to his nephew John Livesay, Esq 1701–1751. This John Livesay, Esq married the Honourable Elizabeth St.John 1692–1739 daughter of St.Andrew St.John Kt 2nd Bt St. John of Woodford 1658–1708 and Dame Jane St John nee Blois 1666–1711.
Note these names are either spelt Livesey or Livesay
Regards John