Hi Guys!
Based on a special request, I am posting this beautiful composition again, but along with meaning of the words
For simplicity and ease of reading, I am mentioning the line numbers. I have tried my level best to get the meaning of this from various words Hindi Dictionaries. In case of any error or wrong meaning may Lord Ganesh Forgive me!
1. Gananayaka(Leader of the People)
Ganadaivataya(Divine God of People)
Ganadakshaya(Representative of the People)
Dheemahi(We Meditate You/Namaskar to you/Bow to You/We offer our prayers to you)
2. Guna shariraya(Embodiment of Character(गुण - गुण has many meanings - कला या विद्या/किसी की वह प्राकृतिक विशेषता गिसके कारण समाज में उसकी प्रशंसा होती है/Skills/Merits/Qualities/Virtue/Attribute/Speciality))
Guna Manditaya(One Adorned by virtue)
Guneshanay(Lord or Master of Moral values)
Dheemahi(We Meditate You/Namaskar to you/Bow to You/We offer our prayers to you)
3. Gunaditaya(Beyond the three गुण - सत्त्व, राजस and तमास)
Gunadhishaya(The Controller of गुण/One who has mastered all forms of virtues)
Guna pravishtaya(The one in whom गुण is present throughout/One who is the midst of Excellent Qualities)
Dheemahi(We Meditate You/Namaskar to you/Bow to You/We offer our prayers to you)
4. Ekadantaya(Lord with One Tusk)
Vakratundaya(Having Curved Trunk --Either in Left or Right Direction)
Gauri tanahayaya(Son of गौरी or पार्वती)
dheemahi(We Meditate You/Namaskar to you/Bow to You/We offer our prayers to you)
5. Gajeshanaya(Master of Elephants)
Bhalchandraya(One who bears crescent moon on his forehead)
shree ganeshaya(The Auspicious Lord Ganesha)
dheemahi(We Meditate You/Namaskar to you/Bow to You/We offer our prayers to you)
{Ekadantaya Vakratundaya Gauri tanahaya yadhi mahi
Gajeshanaya Bhalchandraya shree ganeshaya dheemahi}-chorus
6. Gaanachaturaya(One who is skilled/very clever in Music)
ganaapranaya(The life of Music)
gaanantaratmane(The very innermost soul of Music)
7. Gaanotsukhay(One who is exited/very Happy with Music)
Gaanamattaya(One who is intoxicated with Music)
gannott sukha mana se(One who's Heart longs(eagerly waits) for Music)
8.Guru pujitaya(You are worshipped by Teachers and Preceptors(One who gives commands or makes rules))
Guru daivataya(You are the lord of the Teachers and Preceptors)
Guru kulasthaine(The Protector of the Dynasties of Teachers and Preceptors)
9.Guru Vikramaya(You make the teachers valorous/Marked by or possessing great personal bravery)
Kuiyya pravaraya(The carrier of their invocation to Agni)
Gurave guna gura ve(Oh most virtuous of teachers)
10.Gurudaitya kalakchetre(You help the teachers to pierce and destroy the entire dynasty of their foes, The demons)
Guru dharma sada rakdhyaya(You are the one who is always worshipped for setting up the main goal of dharma - by the righteous practices of Gurus)
11.Guru putra paritratre(You are the one who rescues/saves the children of Preceptors)
Guru pakhand khand khaya(From the one who empowers them to destroy and impious folks)
12.Geet saraya(One who is the Substance of Song/Music)
Geet tatvaya(The quintessential/Essence of Song/Music)
Geet stotraya(One who is the enricher of Music) dheemahi
13.Gudha gulfaya(One who has rounded Ankles)
Gandha Mattaya(One who is with the fragrances of Gandha/A holy mixture of one or more things like Sandal Powder, Kumkum etc and other fragrances)
Gojaya pradaya(The one who grants Victory over Senses) dheemahi
14.Gunaditaya Gunadhishaya Guna pravishtaya Dheemahi
Ekadantaya Vakratundaya Gauri tanahaya ya dheemahi
Gajeshanaya Bhalchandraya shree ganeshaya dheemahi
{Ekadantaya Vakratundaya Gauri tanahaya yadhi mahi
Gajeshanaya Bhalchandraya shree ganeshaya
dheemahi}-chorus (meaning available above)
15.{Gandharva rajaya gandhaya Gandharva gana shravan pranaime
Gaadha anuragaya granthaya geetaya grantatarth tanmaiye gurileee
Gunavateee.. ganapatayeee..}- chorus (Couldn't find, incase anyone knows please post it as comment)
16.Granta geetaya(The Song within the book) granta geyaya(One who knows all the books) grant antaratamane(You are the innermost soul of all the Sacred Scriptures/Vedas)
17. Geet leenay(Having become one/Merged/in Samadhi with the Music)
Geet shrayaya(One who is praised as the Refuge or Saviour for Music)
Geetvadya vadya padave(and the one who is propitiated by singing songs to the accompaniment of instruments)
18.Geya charitaya gaya gavaraya Gandharva prikrute(With a form that captives the Gandharvas, you are the character/individual that is praised in the song)
19.gayakadhina vighrahaya(The one who blesses the singer under whose control, you find yourself)
Gangajala pranayavate(The one who is the force behind surging torrents in the water in the river Ganga)
20. Gauri stananathanaya(Breast Fed by Mother Gauri)
Gauri hridaya nandanaya(The one who gave pleasure to the heart of Mother Gauri)
21. Gaur bhanu sukhaya Gauri ganeshwaraya(Of the Fair son of Shiva, Salutations to Gauri and Ganesha)
22.Gauri Pranyaya(To the One brought forth by Parvati)
Gauri pravanaya(Who does her bidding)
Gaur bhavaya(and whose conduct is Spotless/Fair)
dheemahi(We Meditate You/Namaskar to you/Bow to You/We offer our prayers to you)
23. Gosa hastraya gowardanaya gopa gopaya dheemahi [Don't know]
Gunaditaya Gunadhishaya Guna pravishtaya Dheemahi
Ekadantaya Vakratundaya Gauri tanahaya yadhi mahi
Gajeshanaya Bhalchandraya shree ganeshaya dheemahi
{Ekadantaya Vakratundaya Gauri tanahaya yadhi mahi Gajeshanaya Bhalchandraya shree ganeshaya
dheemahi}-singer and chorus together
The above stated meanings are correct to the best of my knowledge. I have referred to various sources for Sanskrit, Devnagri leepi on internet and Hindi Dictionaries to get the above meanings. Though, in case you think any of these meanings are incorrect, please help me improve/correct them.