I'm afraid that this is not correct. The Marquess of Abergavenny does not hold any of the Baronies of Bergavenny, and his daughter will not succeed to any title on his death.
The most recent Barony of Bergavenny (created in error in 1724) has been in abeyance since the death of the 3rd Marquess of Abergavenny in 1938, the co-heirs currently being the Marquess Camden and the Lord Hastings (descendants of the 3rd Marquess's two daughters). The original medieval Baronies of Bergavenny (created in 1392 and 1450, and held together from 1476) have been abeyant since 1762.
Indeed, even if the previous (5th) Marquess of Abergavenny had held a barony by writ (which he did not), it would not have passed to the present Marquess, since the 5th Marquess was survived by three daughters, who would have been co-heirs to any such title.