Enif	21h 44m 11.14s	21h 44.186m	330.2
κ	21h 44m 38.70s	21h 44.645m	330.3
ν	22h 05m 40.69s	22h 05.678m	335.7
ι	22h 07m 00.47s	22h 07.008m	336.0
π	22h 09m 59.25s	22h 09.988m	336.7
θ	22h 10m 11.82s	22h 10.197m	336.8
ο	22h 41m 45.41s	22h 41.757m	344.8
λ	22h 46m 31.84s	22h 46.531m	346.0
ξ	22h 46m 41.44s	22h 46.691m	346.1
μ	22h 50m 00.10s	22h 50.002m	346.9
σ	22h 52m 23.77s	22h 52.396m	347.5
ρ	22h 55m 13.62s	22h 55.227m	348.2
υ	23h 25m 22.66s	23h 25.378m	355.9
φ	23h 52m 29.29s	23h 52.488m	362.7
ψ	23h 57m 45.55s	23h 57.759m	364.1
χ	00h 14m 36.11s	00h 14.602m	368.4

Enif	ε Pegasi	2.38	09° 39′ N	21h 42m	330.2
Jih	κ Pegasi	4.14	25° 39′ N	21h 42m	330.3
	ν Pegasi	4.86	05° 03′ N	22h 03m	335.7
	ι Pegasi	3.77	25° 21′ N	22h 05m	336.0
Woo	π Pegasi	4.28	33° 11′ N	22h 07m	336.7
Baham	θ Pegasi	3.52	06° 12′ N	22h 08m	336.8
Homan	ζ Pegasi	3.41	10° 34′ N	22h 29m	342.2
	ο Pegasi	4.80	29° 18′ N	22h 39m	344.8
Matar	η Pegasi	2.93	29° 58′ N	22h 41m	345.2
	λ Pegasi	3.97	23° 34′ N	22h 44m	346.0
	ξ Pegasi	4.20	12° 10′ N	22h 45m	346.1
	μ Pegasi	3.51	24° 36′ N	22h 48m	346.9
	σ Pegasi	5.16	09° 50′ N	22h 50m	347.5
	ρ Pegasi	4.91	08° 49′ N	22h 53m	348.2
Scheat Pegasi	β Pegasi	2.44	27° 49′ N	23h 01m	350.3	H
Markab Pegasi	α Pegasi	2.49	14° 56′ N	23h 02m	350.5	ACH
Kerb	τ Pegasi	4.58	23° 28′ N	23h 18m	354.6
	υ Pegasi	4.42	23° 24′ N	23h 23m	355.9
	φ Pegasi	5.06	19° 07′ N	23h 50m	362.7
	ψ Pegasi	4.63	25° 08′ N	23h 55m	364.1
Algenib Pegasi	γ Pegasi	2.83	14º 54' N	00h 11m	2.8	CH
	χ Pegasi	4.79	20° 12′ N	00h 12m	368.4

As to the new names Allen says:

"κ, Triple and binary, 4.8, 5.3, and 10.8, yellowish and orange, marking the right forearm [sic!] is unnamed except in China, where it is Jih, the Sun, a title also for κ and λ Librae."

The latter stars are on the ecliptic, but for κ Pegasi some other explanation is needed for the name Sun, e.g. that the path of Sun did not stretch beyond the heliacal rising of Antares:

"π was the Chinese Woo, a Pestle."

"θ, 3.8, and ν, 4.8, were Al Sufi's Sa'd al Bahāim, the Good Luck of the Two Beasts; Al Achsasi adding to the group the still brighter ζ.

θ alone is Baham in some modern lists; but Ulug Beg had Bihām, the Young of domestic animals.

It appears on the Dresden globe as Al Hawā'im, the Thirsty Camels."