This list can swell up if you consider peerages with similar names but a slightly different element, e.g. there is a Barony of Hamilton of Dalzell and a Barony of Hamilton of Epsom. I would recommend sticking to peerage names that are completely identical, of course excluding the territorial designation, e.g. as in the Windsor example.
The Barony of Berkeley of Stratton [I] was created in 1658 for John Berkeley. George Berkeley, 9th Baron Berkeley was already created Earl of Berkeley in 1679 and would later die in 1698. Related in this family was William FitzHardinge Berkeley, who was created Earl FitzHardinge in 1841. His brother (both being illegitimate sons of the 5th Earl of Berkeley) was later created Baron FitzHardinge in 1861, however the Earl FitzHardinge would already die by 1857, so not quite at the same time.
Lady (Henrietta) Laura, only child of Sir William Pulteney, 5th Bt, was created Baroness Bath in 1792 and later Countess of Bath in 1803. This was at the same time when the 3rd Viscount Weymouth was created Marquess of Bath in 1789 and when his successor inherited the title and died in 1837. Laura’s mother was Frances Pulteney, daughter of Daniel Pulteney MP, first cousin of William Pulteney, 1st Earl of Bath, thus explaining the choice of title.
S.S.
Another example is the Barony of Arundell of Wardour which was created in 1605 and became extinct in 1944. The other is the Barony of Arundell of Trerice which was created in 1664 and became extinct in 1768. I have pointed this out before but both peerages’ names are simply “Arundell”. “of Wardour” and “of Trerice” as indicated in italics are part of the territorial designation. Due to this, both peerages are often written with the appendage as forming part of the title in most peerage works.
S.S.
Paul, in the case of both Arundell baronies, it is important to remember that both peerages were by letters patent, not by writ of summons.
You are quite right that baronies created by writ of summons often appended a territorial designation, mostly to differentiate similarly-named individuals from each other. Strictly speaking, we can take most of these alone by the name written on the writ of summons, i.e. Grey of Ruthin should just be Grey; Willoughby de Eresby etc should just be Willoughby etc, though of course we kept it to make our lives easier at recording and differentiating. A similar argument can be made as to how peerages were written down in the letters patent. Since writing conventions shifted as did the language, there are a few peerages whose name is rendered in the modern form, rather than the one it was written in originally, e.g. the Earldom of Cork was spelt as "Coke" even in 1753, but we still spell it the modern (and arguably more convenient way).
This also reminds me of whether we should use "de" or "the" in the title of such writ of summons. Arguably, using "de" is the same as saying "Willoughby of Broke", though of course that distinction is preserved depending on the time period and how later writers rendered it.
Also, to the Kingston example, the Dukedom of Kingston is actually Kingston-upon-Hull (the letters patent spells it out entirely rather than just Kingston), which refers of course to the town of Kingston-upon-Hull (or Kingston more commonly). The Earldom of Kingston [I] refers to the town of Kingston in county Dublin. So these two peerages are not strictly similar by means of name alone, still an interesting example.
S.S.