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'The Star Man of Fire' (ε Virginis, Vindemiatrix, Kakkab Mulu-ixi) culminated at midnight in May 22 (142) = 5 days after Porrima (γ Virginis, Kakkab-Dan-nu, 'the Star of the Hero'), which had culminated at midnight in May 17 (137), i.e. in Sheratan 1:

'April 20 (110)
'October 20 (293)
May 17 (137) = Sheratan 1 (1)
November 16 (320)
Cb2-7
e kiore - henua - pa rei
Menkhib (16.6)

Porrima

2206 B.C.
 β Tr. Austr. (199.3), κ Tr. Austr. (199.4), ρ Scorpii (199.8)

Allen: "In Babylonia it [γ Virginis] marked the 19th ecliptic constellation, Shur-mahrū-shirū, the Front, or West, Shur (?); while individually it was Kakkab Dan-nu, the Star of the Hero, and the reference point in their annals of an observation of Saturn¹ on the 1st of March, 228 B.C., the first mention of this planet that we have, and recorded by Ptolemy.

¹ Saturn was Χρόνος and Φαίνων, the Shiner, with the Greeks; Al Thākib, the Piercer, with the Arabs; and Saturn, or Stella Solis, with the Latins."

'April 21 (111) 22 23
'October 21 22 (295) 23
May 18 19 20 (140)
November 17 18 (322) 19
Cb2-8 (424) Cb2-9 Cb2-10
Niu moe te goe
Zaurak (17.9) λ Tauri (18.3), ν Tauri (18.9) no star listed

Cor Caroli

Iklīl al Jabhah-15 / Anuradha-17 / Room-4  υ Herculis (201.3), ρ Cor. Borealis (201.4), ι Cor. Borealis (201.5), ξ Scorpii (201.7)

Schedir

Acrab, Jabhat al Akrab (202.3), θ Lupi, Rutilicus (202.5), Marfik (202.7), φ Herculis (202.8)
ξ Lupi, λ Cor. Borealis (200.1), Zheng (200.2), VRISCHIKA (200.3), ε Cor. Borealis (200.5),  Dschubba (200.7), η Lupi (200.9)
'April 24 (480) 25 (115)
'October 24 25
May 21 22 (142)
November 20 21 (325)
Cb2-11 Cb2-12 (428)
ka moe i roto te henua
no star listed Beid (21.2)

Vindemiatrix

ψ Scorpii (203.6), Lesath (203.8) χ Scorpii (204.1), Yed Prior, δ Tr. Austr. (204.5)

... On the Euphrates it [ε Virginis] may have been Kakkab Mulu-ixi, the Star Man of Fire, possibly symbolizing the god Laterak, the Divine King of the Desert; although that title has been assigned to μ Virginis and δ Librae ...

In the drawing above I have redmarked the vertical line from ε down to γ, with the midpoint around δ, where Virgo had her girdle. It means δ served as a mark in time, like Mirach at the girdle of Andromeda:

The star Delta (δ Andromeda) was 3 days earlier than the Arabs' heliacal 'Zero':

    Delta δ Andromedae 8.4 March 29 (88) - -
0 - Zero η Andromedae 11.4 April 1 (91) - 0
1 Al Sharatain Pair of Signs β Arietis (Sheratan), γ (Mesarthim) 27.4 April 17 (107) 16 16
    Musca Borealis 35 (Head of the Fly), 39 (Kaffaljidhma), and 41 Arietis (Bharani) 41.4 May 1 (121) 14 30
2 Al Dabarān Follower α Tauri (Aldebaran), θ¹, θ²´, γ (Hyadum I), δ (Hyadum II), ε (Ain) 63.4 May 23 (143) 22 52

But Mirach (β)  was at RA day 16.0 which did not fit in this time structure.

In Virgo δ (Minelauva) was rising between Porrima ('the Hero') and Vindemiatrix ('the Man of Fire'). I have not the midnight culmination dates for more than a few of the stars in my list. But we can interpolate in order to find where Minelauva ought to have culminated:

Porrima (γ) 191.5 May 17
Minelavua (δ) 195.1 = 191.5 + 3.6 3.6 / 5.3 * 5 = 3.4
Vindemiatrix (ε) 196.8 = 191.5 + 5.3 May 22

In May 20 also Cor Caroli (α Canum Venatici) culminated: