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This is the Foal and it has only 5 stars with Greek letters:

ε 20h 59m 04.54s 20h 59.076m 318.8
γ 21h 10m 20.47s 21h 10.341m 321.6
δ 21h 14m 28.79s 21h 14.480m 322.7
α 21h 15m 49.40 21h 15.823m 323.0
β 21h 22m 53.58s 21h 22.893m 324.8
Enif 21h 44m 11.14s 21h 44.186m 330.2

 

ε Equulei 5.30 04° 18′ N 20h 57m 318.8

 

γ Equulei 4.70 10° 08′ N 21h 08m 321.6

 

δ Equulei 4.47 10° 00′ N 21h 12m 322.7

Kitalpha

α Equulei 3.92 05° 15′ N 21h 13m 323.0

 

β Equulei 5.16 06° 49′ N 21h 21m 324.8

"... Kitalpha, from the Arabian name for the whole figure ['Part of a Horse', Al Kit'ah al Faras], strangely turned by Burritt into Kitel Phard. Stieler had Kitalphar.

With β it was the Chinese Sze Wei." (Allen)

The first Foal star (ε) was rising with the Sun in February 2, while the other 4 came after 21h. From Kitalpha to the first Pegasus star (ε, Enif) there was around a week:

Al Baldaah 3 4 5 6 7 8 (265)
January 31 February 1 2 3 4 (400) 5 (36)
Ca11-32 Ca12-1 Ca12-2 Ca12-3 Ca12-4 (320) Ca12-5
te rakau i to vai Te moko te marama rima o kava manu mauga tu taki
Baten Algiedi (315.8), μ Aquarii (316.0) no star listed ε Equulei (317.8) Armus (319.0), Dorsum (319.3) 21h (319.6) γ Equulei (320.6), ο Pavonis (320.8)
χ Capricorni (320.0), ν Aquarii (320.3)
August 2 (214) 3 4 5 6 7
Alhena 12 13 Murzim 1 (80) 2 3 4
ζ Hydrae (134.1) Acubens, Talitha Borealis (135.0)  ρ Ursa Majoris (135.6), ν Cancri (136.0), Talitha Australis (136.1) 9h (137.0) σ² Ursa Majoris (137.6), τ Ursa Majoris (137.7), ξ Cancri (137.8) Miaplacidus (139.3)
ω Hydrae (136.8), σ¹ Ursa Majoris (137.0), κ Cancri (137.3), Alsuhail (137.5)
Al Baldaah 9 10 11 (268)
February 6 7 (403) 8
Ca12-6 Ca12-7 Ca12-8 (324)
tagata hoi haatu ka huri ra ki te mauga
δ Equulei (321.7), φ Capricorni (321.8), Kitalpha (322.0) Alderamin (322.9), Dai (323.5) β Equulei (323.8), γ Pavonis (324.1)
August 8 (220) 9 10
Murzim 5 (84) 6 7
Tureis (139.8) Markab Velorum (141.5) Al Minhar al Asad (141.6), Alphard (142.3)