Question: When did the process occur that occurred after the futhorc runes are thought to have been developed, resulting in the Anglo-Saxon runes to also being called the Anglo-Frisian runes?

Context paragraphs:
Anglo-Saxon runes: Anglo-Saxon runes are runes used by the early Anglo-Saxons as an alphabet in their writing.  The characters are known collectively as the futhorc (or "fuþorc"), from the Old English sound values of the first six runes.  The futhorc was a development from the 24-character Elder Futhark.  Since the futhorc runes are thought to have first been used in Frisia before the Anglo-Saxon settlement of Britain, they have also been called Anglo-Frisian runes.  They were likely used from the 5th century onward, recording Old English and Old Frisian.

Abecedarium Nordmannicum: The Abecedarium Nordmannicum is a presentation of the 16 runes of the Younger Futhark as a short poem (sometimes counted as one of the "rune poems"), in the 9th-century Codex Sangallensis 878 (on page 321).  The Younger Futhark are given after the Hebrew alphabet on the preceding page, and the Anglo-Saxon futhorc on the same page.  The text of the rune poem was unfortunately destroyed in the 19th century by chemicals intended for its preservation.  It survives in an 1828 drawing by Wilhelm Grimm.

Franks Casket: The Franks Casket (or the Auzon Casket) is a small Anglo-Saxon whale's bone (not "whalebone" in the sense of baleen) chest from the early 8th century, now in the British Museum.  The casket is densely decorated with knife-cut narrative scenes in flat two-dimensional low-relief and with inscriptions mostly in Anglo-Saxon runes.  Generally reckoned to be of Northumbrian origin, it is of unique importance for the insight it gives into early Anglo-Saxon art and culture.  Both identifying the images and interpreting the runic inscriptions has generated a considerable amount of scholarship.

PoxNora: PoxNora: Battlefield of the Immortals is a multiplayer online game that combines a collectible card game with a turn-based strategy game in a fantasy setting.  "PoxNora" was originally launched via Java Web Start through a browser and can be played on Microsoft Windows, Mac OS X, and Linux.  The game is free to play with "Sample Battlegroups", and players can purchase additional game pieces, called "runes", and build their own strategies.  The game currently includes more than 1600 runes.  The game was originally designed and developed by Octopi Media Design Lab, which as of January 16, 2009 became owned by and operated by Sony Online Entertainment.  This division of SOE was formerly referred to as SOETucson (because Octopi's headquarters was located in Tucson, Arizona).  On April 1, 2011, SOE closed down the Tucson studio along with its Seattle and Denver studios, laying off over 200 employees in the process.  Some members of the "PoxNora" team were moved to the San Diego HQ to continue development.

Blackletter: Blackletter (sometimes black letter), also known as Gothic script, Gothic minuscule, or Textura, was a script used throughout Western Europe from approximately 1150 to well into the 17th century.  It continued to be used for the Danish language until 1875, and was used for the German language until the 20th century.  Fraktur is a notable script of this type, and sometimes the entire group of blackletter faces is incorrectly referred to as Fraktur.  Blackletter is sometimes referred to as Old English, but it is not to be confused with the Old English (or Anglo-Saxon) language, which predates blackletter by many centuries, and was written in the insular script, or in Futhorc runes before that.

R. I. Page: Raymond Ian Page (25 September 1924 – 10 March 2012) was a British historian of Anglo-Saxon England and the Viking Age, and a renowned runologist who specialised in the study of Anglo-Saxon runes.

Runes: Runes (Proto-Norse: ᚱᚢᚾᛟ ("runo"), Old Norse: "rún") are the letters in a set of related alphabets known as runic alphabets, which were used to write various Germanic languages before the adoption of the Latin alphabet and for specialised purposes thereafter.  The Scandinavian variants are also known as futhark or fuþark (derived from their first six letters of the alphabet: "F", "U", "Þ", "A", "R", and "K"); the Anglo-Saxon variant is futhorc or fuþorc (due to sound changes undergone in Old English by the names of those six letters).

Caistor-by-Norwich astragalus: The Caistor-by-Norwich astralagus is a roe deer astragalus found in an urn at Caistor St. Edmund, Norfolk, England.  The astragalus is inscribed with a 5th-century Elder Futhark inscription, reading raïhan "roe".  The inscription is the earliest found in England, and predates the evolution of the specifically Anglo-Frisian Futhorc.  As the urn was found in a cemetery that indicated some Scandinavian influence, it has been suggested that the astragalus may be an import, perhaps brought from Denmark in the earliest phase of the Anglo-Saxon settlement of Britain.  The inscription is an important testimony for the Eihwaz rune and the treatment of Proto-Germanic "*ai".  The "h" rune has the Nordic single-bar shape , not the Continental double-bar which was later adopted in the Anglo-Frisian runes.

Anglo-Saxon settlement of Britain: The Anglo-Saxon settlement of Britain describes the process which changed the language and culture of most of what became England from Romano-British to Germanic.  The Germanic-speakers in Britain, themselves of diverse origins, eventually developed a common cultural identity as Anglo-Saxons.  This process occurred from the mid-fifth to early seventh centuries, following the end of Roman power in Britain around the year 410.  The settlement was followed by the establishment of Anglo-Saxon kingdoms in the south and east of Britain, later followed by the rest of modern England.

Old English rune poem: The Old English rune poem, dated to the 8th or 9th century, has stanzas on 29 Anglo-Saxon runes.

Supporting paragraphs: Anglo-Saxon runes Anglo-Saxon settlement of Britain
Answer: mid-fifth to early seventh centuries