4. We had better list also the rest of the stars in Crater (10 of them). If we don't do it now it will probably never be done:

Alkes 10h 59m 46.75s 10h 59.779m 166.6
Al Sharas 11h 11m 39.49s 11h 11.658m 169.6
λ 11h 23m 22.07s 11h 23.368m 172.6
γ 11h 24m 52.98s 11h 24.883m 173.0
Labrum 11h 19m 20.52s 11h 19.342m 171.6
ε 11h 24m 36.61s 11h 24.610m 172.9
θ 11h 36m 40.95s 11h 36.683m 176.0
ζ 11h 44m 45.76s 11h 44.763m 178.0
η 11h 56m 00.98s 11h 56.016m 180.9
ι 11h 38m 39.96s 11h 38.666m 176.5
κ 11h 27m 09.58s 11h 27.160m 173.5

The 12th hour:

Dubhe

α Ursa Majoris 1.81 62° 01′ N 11h 01m 167.7 575.7

Al Sharas

β Crateris 4.46 18° 18′ S 11h 09m 169.6 577.6

Zosma

δ Leonis 2.56 20° 48′ N 11h 11m 170.2 578.2

Coxa

θ Leonis 3.33 15° 42′ N 11h 12m 170.4 578.4

Alula Australe

ξ Ursa Majoris 3.79 31° 49′ N 11h 16m 171.5 579.5

Alula Boreale

ν Ursa Majoris 3.49 33° 22′ N 11h 16m

Labrum

δ Crateris 3.56 14° 47′ S 11h 17m 171.6 579.6

 

λ Crateris 5.08 18° 47′ S 11h 20m 172.6 580.6

 

ε Crateris 4.81 10° 52′ S 11h 22m 172.9 580.9

 

γ Crateris 4.06 17° 41′ S 11h 22m 173.0 581.0

 

κ Crateris 5.93 12° 21′ S 11h 24m 173.5 581.5

 

θ Crateris 4.70 09° 48′ S 11h 34m 176.0 584.0

 

ι Crateris 5.48 13° 12′ S 11h 36m 176.5 584.5

 

ζ Crateris 4.71 18° 21′ S 11h 42m 178.0 586.0

Denebola

β Leonis 2.14 14° 51′ N 11h 47m 179.3 587.3

Alaraph

β Virginis 3.59 02° 03′ N 11h 48m 179.6 587.6

Phekda

γ Ursa Majoris 2.41 53° 58′ N 11h 51m 180.3 588.3

 

η Crateris 5.17 17° 09′ S 11h 01m 180.9 588.9
period 14
Ga4-20 (*168) Ga4-21 Ga4-22
Dubhe (167.7)    Zosma (170.2), Coxa (170.4), Al Sharas (169.7)
period 15
Ga4-23 Ga4-24 Ga4-25 (*173) Ga4-26 Ga4-27 (111)
Alula (171.5), Labrum (171.6) λ Crateris (172.6), ε Crateris (172.9), γ Crateris (173.0) κ Crateris (173.5)  
period 16
Ga5-1 (*176) Ga5-2 Ga5-3 (114)
θ Crateris (176.0) ι Crateris (176.5) ζ Crateris (178.0)
period 17
Ga5-4 Ga5-5 (*180)
Denebola (179.3) Alaraph (197.6), Phekda (180.3)
Ga5-6 Ga5-7 (**90) Ga5-8 Ga5-9 (120)
η Crateris (180.9)      

Allen does not mention Labrum (δ), but according to Wikipedia it is Latin for 'an edge, rim of a vessel' (which it hardly denotes in the normal representation of the constellation). But the vessel in question surely is Crater:

"A krater (in Greek: κρατήρ, kratēr, from the verb κεράννυμι, keránnymi, 'to mix') was a large vase used to mix wine and water in Ancient Greece ...

At a Greek symposium, kraters were placed in the center of the room. They were quite large, so they were not easily portable when filled. Thus, the wine-water mixture would be withdrawn from the krater with other vessels. In fact, Homer's Odyssey describes a steward drawing wine from a krater at a banquet and then running to and fro pouring the wine into guests' drinking cups ..." (Wikipedia)

I guess we should pay attention to the key ingredients of the krater, viz. a place in the center and a place where fluids are mixed.

As to Alkes (α) Allen mentions this name when listing names for the constellation:

"In early Arabia it was Al Ma'laf, the Stall, - a later title there for the Praesaepe of Cancer; but when the astronomy of the Desert came under Greek influence it was Al Bātiyah, the Persian Badiye, and the Al Batinah of Al Achsasi, all signifying an earthen vessel for storing wine.

Another title, Al Kās, a Shallow Basin, - Alhas in the Alfonsine lists, - has since been turned into Alker and Elkis; but Scaliger's suggestion of Alkes generally has been adopted, although now applied to the star α. These same Tables Latinized it as Patera, and as Vas, or Vas aquarium."

(A Roman patera.)

And as to Al Sharas (β) he says:

"β ... at the southern edge of the base, was one of Al Tizini's Al Sharāsīf, the Ribs, - i.e. of Hydra, - and the first of the set."