Lucy’s Rooster figurine is seen in various places from the livingroom, to the kitchen and in Ethel’s livingroom after she gets the Ricardo’s old furniture.

The Rooster uses a similar mold to the rooster of a Kay Finch rooster and hen pair of chickens called BUTCH n BIDDY.  The Rooster & Hen  figurines were a popular California pottery set hand painted in various patterns. However the pair I have seen that most closely matches the paint pattern of  the rooster on the show does not have the “Kay Finch” signature on the base, it signed M. K.

The rooster figurine above is one that resembles the painted pattern seen in the screen shots from the show. This pair is black and white has the initials M.K. on the base. The Hen measures about 5″ by 5″ and the Rooster is about 9″ tall by 4″ wide.

I have seen a similar mold in use under other marks as well. The distinctive rooster tail design makes it easy to identify. The coloring  and angle of the rooster tail matches the characteristics of the Japanese Mottled Bantam.  (This may or may not be a clue that it was made in Japan)

This pair was found on Etsy View details here.
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Reference:
http://www.aboutbantamchickens.com/bantam-chickens-japanese-bantams-luxury-feathered-lap-dog-of-the-aristocrats/