The mount of Ganesh is a mouse called Mooshika, the "Little Hoarder". Mooshika Vahana
is also called Mooshikam, Minjur or Akhu. A hyperactive creature, the mouse is symbolic of our indriyas (ten senses). Therefore Ganesh sitting on such a vehicle represents a deity of control over the indriyas.
When Shiva and Parvati decided to have their sons, Kartikeya and Ganesh married, they stipulated that he who circumambulated the earth first would be considered the best deity and would be married first. Kartikeya flew off on his vehicle - a peacock. Poor Ganapati's vehicle was a mouse which was no match for a peacock. Being the choicest devotee of God, Parvatiji consoling him showed Ganeshji a simpler and quicker way. She advised him to cicumambulate the cow since she also symbolically represents another earth and he had reap the same benefit as going round the earth. Another reference cites him circumambulating his parents.Consoling him, Parvati showed a short cut. She divulged that it was ordained in the scriptures that he who offered puja to his parents and then circumambulated them received the same merit as he who went around the earth. Ganapati hence married first showing that one who obeys the wish of the choicest devotee of God or his parents attains his desired wishes. Hence Ganeshji is invoked first in all auspicious events, rites and rituals such as marriage, opening ceremonies, ground-breaking ceremonies, yagnas and so on.