Question: Who was the mother of the person under whom the foreign group that conquered Halford Mackinder's birth country around AD 43 reached its greatest extent?

<P0-S0> archaeological finds suggest that the area has been inhabited since the stone age. <P0-S1> following the roman invasion of britain in ad 43 and the conquering of the local britons in 70 ad the fortress settlement of clausentum was established. <P0-S2> it was an important trading port and defensive outpost of winchester, at the site of modern bitterne manor. <P0-S3> clausentum was defended by a wall and two ditches and is thought to have contained a bath house. <P0-S4> clausentum was not abandoned until around 410. <SEP> <P1-S0> The imperial period of Rome lasted approximately 1,500 years compared to the 500 years of the Republican era. <P1-S1> The first two centuries of the empire's existence were a period of unprecedented political stability and prosperity known as the Pax Romana, or ``Roman Peace ''. <P1-S2> Following Octavian's victory, the size of the empire was dramatically increased. <P1-S3> After the assassination of Caligula in AD 41, the Senate briefly considered restoring the republic, but the Praetorian Guard proclaimed Claudius emperor instead. <P1-S4> Under Claudius, the empire invaded Britannia, its first major expansion since Augustus. <P1-S5> After Claudius' successor, Nero, committed suicide in AD 68, the empire suffered a series of brief civil wars, as well as a concurrent major rebellion in Judea, during which four different legionary generals were proclaimed emperor. <P1-S6> The empire reached its greatest extent under Trajan, the second in this line. <P1-S7> Vespasian emerged triumphant in AD 69, establishing the Flavian dynasty, before being succeeded by his son Titus, who opened the Colosseum shortly after the eruption of Mount Vesuvius. <P1-S8> His short reign was followed by the long reign of his brother Domitian, who was eventually assassinated. <P1-S9> The Senate then appointed the first of the Five Good Emperors. <SEP> <P2-S0> Hiberni (Ireland), Pictish (northern Britain) and Britons (southern Britain) tribes, all speaking Insular Celtic, inhabited the islands at the beginning of the 1st millennium AD. <P2-S1> The first Anglo-Saxons arrived as Roman power waned in the 5th century and eventually dominated the bulk of what is now England. <P2-S2> Viking invasions began in the 9th century, followed by more permanent settlements and political change—particularly in England. <P2-S3> The subsequent Norman conquest of England in 1066 and the later Angevin partial conquest of Ireland from 1169 led to the imposition of a new Norman ruling elite across much of Britain and parts of Ireland. <P2-S4> By the Late Middle Ages, Great Britain was separated into the Kingdoms of England and Scotland, while control in Ireland fluxed between Gaelic kingdoms, Hiberno-Norman lords and the English-dominated Lordship of Ireland, soon restricted only to The Pale. <P2-S5> The 1603 Union of the Crowns, Acts of Union 1707 and Acts of Union 1800 attempted to consolidate Britain and Ireland into a single political unit, the United Kingdom of Great Britain and Ireland, with the Isle of Man and the Channel Islands remaining as Crown Dependencies. <P2-S6> Much of Brittonic-controlled Britain was conquered by the Roman Empire from AD 43. <P2-S7> The expansion of the British Empire and migrations following the Irish Famine and Highland Clearances resulted in the distribution of the islands' population and culture throughout the world and a rapid de-population of Ireland in the second half of the 19th century. <P2-S8> Most of Ireland seceded from the United Kingdom after the Irish War of Independence and the subsequent Anglo-Irish Treaty (1919–1922), with six counties remaining in the UK as Northern Ireland. <SEP> <P3-S0> the maurya empire (322–185 bce) was the first empire to unify india into one state, and was the largest on the indian subcontinent. <P3-S1> at its greatest extent, the mauryan empire stretched to the north up to the natural boundaries of the himalayas and to the east into what is now assam. <P3-S2> to the west, it reached beyond modern pakistan, to the hindu kush mountains in what is now afghanistan. <P3-S3> the empire was established by chandragupta maurya in magadha (in modern bihar) when he overthrew the nanda dynasty. <P3-S4> chandragupta's son bindusara succeeded to the throne around 297 bc. <P3-S5> by the time he died in c. 272 bc, a large part of the subcontinent was under mauryan suzerainty. <P3-S6> however, the region of kalinga (around modern day odisha) remained outside mauryan control, perhaps interfering with their trade with the south. <SEP> <P4-S0> The Royal Geographical Society of London and other geographical societies in Europe had great influence and were able to fund travelers who would come back with tales of their discoveries. <P4-S1> Ratzel believed expansion was necessary for a state’s survival while Mackinder supported Britain’s imperial expansion; these two arguments dominated the discipline for decades. <P4-S2> These societies also served as a space for travellers to share these stories.Political geographers such as Friedrich Ratzel of Germany and Halford Mackinder of Britain also supported imperialism. <SEP> <P5-S0> Marcus Ulpius Traianus was born on 18 September 53AD in the Roman province of Hispania Baetica (in what is now Andalusia in modern Spain), in the city of Italica (now in the municipal area of Santiponce, in the outskirts of Seville). <P5-S1> Trajan's birthplace of Italica was founded as a Roman military colony of "Italian" settlers in 206BC, though it is unknown when the Ulpii arrived there. <P5-S2> Although frequently designated the first provincial emperor, and dismissed by later writers such as Cassius Dio (himself of provincial origin) as "an Iberian, and neither an Italian nor even an Italiot", Trajan appears to have hailed on his father's side from the area of Tuder (modern Todi) in Umbria, at the border with Etruria, and on his mother's side from the Gens Marcia, of an Italic family of Sabine origin. <P5-S3> It is possible, but cannot be substantiated, that Trajan's ancestors married local women and lost their citizenship at some point, but they certainly recovered their status when the city became a municipium with Latin citizenship in the mid-1st century BC.