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Hevelius has ω in his illustration, but this late rising star is not in my list. I decided to update it with this and maybe other omitted stars in Sagittarius.

A quick look on the star chart reveals my list seems to be complete up to and including Alrami (α), but beyond are υ, χ, ρ, ω, ι, θ, and κ.

19 (incl. Sham) + 7 = 26, and Sagittarius is in the southern hemisphere.

However, closer examination revealed ρ and υ were rising somewhat earlier than Alrami:

ρ 19h 21m 40.38s 19h 21.673m 293.6
 υ 19h 21m 43.62s 19h 21.727m 293.7
Alrami 19h 23m 53.15s 19h 23.886m 294.2
χ 19h 25m 16.45s 19h 25.274m 294.6
ι 19h 55m 15.68s 19h 55.261m 302.2
ω 19h 55m 50.23s 19h 55.837m 302.3
θ 19h 59m 44.17s 19h 59.736m 303.3
κ 20h 22m 27.48s 20h 22.458m 309.1
  ρ Sagittarii 3.92 17° 51′ S 19h 18m 293.6
   υ Sagittarii 4.52 15° 57′ S 19h 18m 293.7
Alrami α Sagittarii 3.96 40° 43′ S 19h 20m 294.2
  χ Sagittarii 5.02 24° 31′ S 19h 22m 294.6
  ι Sagittarii 4.12 41° 52′ S 19h 52m 302.2
Terebellum ω Sagittarii 4.70 26° 18′ S 19h 52m 302.3
  θ Sagittarii 4.37 35° 17′ S 19h 56m 303.3
  κ Sagittarii 5.60 42° 03′ S 20h 19m 309.1
Shaula 1 2 3 4 (600) 5 (236) 6
January 3 4 5 6 (736) 7 (372) 8
Ca11-4 Ca11-5 Ca11-6 (290) Ca11-7 Ca11-8 Ca11-9
tupu te raau i te vai te moko te marama te kava manu rere te mauga hiku hia
λ Lyrae (287.7), Ascella (287.9), Nunki (288.4), ζ Cor. Austr. (288.5) Manubrium (288.8), γ Cor. Austr. (289.3), τ Sagittarii (289.4), ι Lyrae (289.5) δ Cor. Austr. (289.8), Al Baldah, Alphekka Meridiana (290.1), β Cor. Austr. (290.2) Aladfar (291.1), Nodus II (291.5) ψ Sagittarii (291.6), θ Lyrae (291.8) ρ Sagittarii (292.6),  υ Sagittarii (292.7),  Arkab Prior (293.0), Arkab Posterior, Alrami (293.2)
July 5 6 7 (188) 8 9 10
Al Tuwaibe' 10 11 12 (52) 13 Heka 1 2
Alzirr (105.7), Muliphein (105.8) Wezen (107.1) no stars listed Wasat (109.8) Aludra (111.1)
Shaula 7 8 9 (240) 10
January 9 10 11 12 (377)
Ca11-10 Ca11-11 (295) Ca11-12 Ca11-13
etoru inoino hakahagana hia to rima - te inoino
χ Sagittarii (293.6), Deneb Okab (294.0) Albireo (295.5) no stars listed
July 11 12 (193) 13 14
Heka 3 4 5 6 (59)
Gomeisa (111.6), ρ Gemini (112.1) Castor (113.4) no star listed Markab (114.7), Procyon (114.9)
Shaula 11 12 13 (244) Al Naam 1 2 3
January 13 14 15 16 17 18 (383)
Ca11-14 Ca11-15 Ca11-16 (300) Ca11-17 Ca11-18 Ca11-19
tupu toona rakau i te vai te moko te marama te kava ihe manu kara etahi te mauga e hiku hia
Sham (297.8) Tarazed (299.3) Altair (300.3) ι Sagittarii (301.2), Terebellum (301.3) Alshain (301.6), ε Pavonis, θ Sagittarii (302.3) μ Pavonis (302.7)

Terebellum (ω) has its name from a 'borer', a kind of mollusc which makes holes in ships.

"Terebellum derives from a Latin word meaning borer or augur ... Terebellum is a genus of sea snails, marine gastropod mollusks in the family Strombidae, the true conchs ..." (Wikipedia)

Quite suitable because the 300 days from March 21 have ended and the 'Ship of Sun' should sink down (†) here. Allen:

"ω, 4.8; A, 5; b, 4.7; and c, 4, forming a small quadrangle on the hind quarter of the horse, were the τετράπλερον of Ptolemy, which Bayer repeated in the Low Latin Terebellum, still often seen for these stars´. The Standard Dictionary gives it thus, but instead mentions the components as ω, or α¹, b and e.

The Chinese knew this little figure a Kow Kwo, the Dog's Country."