Though I can answer the Sun Sign (Virgo), the Moon is not fixed in a particular set of dates like the Sun signs are. It will also depend on the year one is born.
Your Sun sign would be Gemini (air element), but your Moon sign would depend on what year you were born. Moons do not stay constant as the Sun sign most often do.
June 14,2011
If you are born in June, your sun sign is either Gemini (May 21 - June 21) or Cancer (June 21 - July 22). If your sun sign is Gemini, your planet will be Mercury. If your sun sign is Cancer, your planet will be the Moon.
If you were born on August 18th, you are a Leo.
For someone born on 21st June 1955 their Sun sign is Gemini, Moon sign is Cancer, Mercury sign is Gemini, Venus sign is Gemini, Mars sign is Cancer, Jupiter sign is Leo, Saturn sign is Scorpio, Uranus sign is Cancer, Neptune sign is Libra, Pluto sign is Leo.
The sign for someone born on June 23rd is Cancer the Crab
Born on January 9, 1987, the moon was in the sign of Taurus.
Born on June 3rd, you would be born under the sign of Gemini.
Your sun sign is Gemini.
If you are born on June 13th the Sun Sign will be Gemini as per Western Astrology.
The Sun sign for June 4th 2002 is Gemini. Depending on what time you were born the Moon is either in Pisces or Aries. Mercury is retrograde in Gemini. Venus, Mars and Jupiter are in Cancer. Saturn is in Gemini. Uranus and Neptune are both retrograde in Aquarius and Pluto is retrograde in Sagittarius.
Libra =D You'll get on well with people born under Gemini (May 21 - June 20) and Aquarius (Jan 20 - Feb 18) - Like me ! =D
If you were born July 13, you zodiac star sign is Cancer.