I think Jay is probably right that the name is Harbert as there are no Hauberts anywhere that I can see.
The NBI is usually a good place to look for odd names & this is what there is for Harbert in Warks.
11 Sep 1662 John HARBERT/Brailes, St George
28 Sep 1703 Richard HARBERT/Brailes, St George
11 Oct 1710 Anne HARBERT/Brailes, St George
21 Sep 1716 William HARBERT/Brailes, St George
17 Mar 1717 John HARBERT/Brailes, St George
15 Oct 1726 William HARBERT/Brailes, St George
25 Nov 1726 Anne HARBERT/Brailes, St George
2 May 1728 John HARBERT Brailes, St George
25 Sep 1796 Hannah HARBERT/Coventry, St Michael
14 Mar 1780 William HARBERT/Fenny Compton,
10 Jul 1784 Sarah HARBERT?Fenny Compton,
5 Jun 1791 Sarah HARBERT?Fenny Compton,
17 Jan 1807 Mary Reading HARBERT/Fenny Compton,
13 Dec 1704 Henry HARBERT/Harbury, All Saints
13 Feb 1706 Samuel HARBERT/Harbury, All Saints
29 Mar 1709 Dorcas HARBERT/Harbury, All Saints
6 Mar 1710 Mary HARBERT Harbury, All Saints
31 Aug 1741 Mary HARBERT/Harbury, All Saints
29 Apr 1820 William HARBERT/33/Ladbroke, All Saints
15 Aug 1787 Hannah HARBERT/Monks Kirby, St Edith
16 Jul 1793 Joseph HARBERT/Monks Kirby, St Edith
23 May 1746 Hannah HARBERT/Tredington, St Gregory
17 May 1749 Hannah HARBERT/Tredington, St Gregory
24 Jun 1750 John HARBERT/Tredington, St Gregory
4 Jul 1753 Richard HARBERT/Tredington, St Gregory
17 Apr 1841 John HARBERT/68/Tysoe, St Mary
They all seem to be in the same area of South Warks.