The "Gopala Vimshati" composed by Shri Vedanta Desika consists of 21 shlOkAs.
See a summary of the composition.

The exploration here is to get at the meanings of each of the
words, investigate roots and related words. The prosaical transformation (anvayaH) is provided, where unobvious.

[1] "The Practical Sanskrit-English Dictionary" by Vaman Shivram Apte, Revised and Enlarged Edition, Motilal Banarsidass Publishers
[2] "Shri Desika Stotra Mala" by Shri Ramadesikachariar Swamy, 2003 Edition, Lifco Publishers
[3] Shri V.S.Sadagopan's english translation
[4] "A Sanskrit English Dictionary", M. Monier-Williams, Motilal Banarsidass Publishers

[Invocatory Tanian on Swami Desikan by Kumara Varadacharya]

    shrImAn ve~nkaTanAthAryaH   kavi-tArkika-kesarI
    vedAntAcArya-varyo me       saMnidhattAm sadA hR^idi

[01.txt]

    vande bR^indAvana-caraM    vallavI-jana-vallabham
    jayantI-saMbhavaM dhAma    vaijayantI-vibhUShaNam

[02.txt]

    vAcaM nijA~Nka-rasikAM prasamIkShamANaH
      vaktrAravinda-viniveshita-pANcajanyaH
    varNa-trikoNa-rucire vara-puNDarIke
      baddhAsano jayati vallava-cakravartI

[03.txt]

    AmnAya-gandhi-rudita-sphuritAdharoShTham
      AsrAvilekShaNam anukShaNa-mandahAsam
    gopAla-Dimbha-vapuShaM kuhanA-jananyAH
      prANa-stanandhayamavaimi paraM pumAMsam

[04.txt]

    AvirbhavatvanibhR^itAbharaNaM purastAt
      Aku~ncitaika-caraNaM nibhR^itAnya-pAdam
    dadhnA nimantha-mukhareNa nibaddha-tAlaM
      nAthasya nanda-bhavane navanIta-nATyam

[05.txt]

    hartuM kumbhe vinihita-karaH svAdu haiya~Nga-vInaM 
      dR^iShTvA dAma-grahaNa-caTulAM mAtaraM jAta-roShAm 
    pAyAdIShat pracalita-pado nApagacchan na tiShThan 
      mithyAgopaH sapadi nayane mIlayan vishva-goptA

[06.txt]

    vraja-yoShidapA~Nga-vedhanIyaM 
      madhurA-bhAgyam ananya bhogyamIDe
    vasudeva-vadhU-stanandhayaM tat 
      kimapi brahma kishora-bhAva-dR^ishyam

[07.txt]

    parivartita-kandharaM bhayena 
      smita-phullAdhara-pallavaM smarAmi
    viTapitva-nirAsakaM kayoshcit 
      vipulolUkhala-karShakaM kumAram

[08.txt]

    nikaTeShu nishAmayAmi nityaM 
      nigamAntairadhunApi mR^igyamANam
    yamalArjuna-dR^iShTa-bAla-keLiM 
      yamunA-sAkShika-yauvanaM yuvAnam

[09.txt]

    padavIm adavIyasIM vimukteH 
      aTavI-saMpadam ambu-vAhayantIm 
    aruNAdhara-sAbhilASha-vaMshAM 
      karuNAM kAraNa-mAnuShIM bhajAmI

[10.txt]

    animeSha-niShevaNIyam akShNoH 
      ajahadyauvanam Avirastu citte 
    kalahAyita-kuntalaM kalApaiH 
      karaNonmAdaka-vibhramaM maho me

[11.txt]

    anuyAyi-manoj~na-vaMsha-nALaiH 
      avatu sparshita-vallavI-vimohaiH 
    anagha-smita-shItalairasau mAm 
      anukampA-saridambujairapA~NgaiH

[12.txt]

    adharAhita-cAru-vaMsha-nAlAH 
      makuTAlambi-mayUra-pi~ncha-mAlAH
    harinIla-shilA-vibha~Nga-nIlAH 
      pratibhAH santu mamAntima-prayANe

[13.txt]

    akhilAn avalokayAmi kAlAn
      mahilAdhIna-bhujAntarasya yUnaH 
    abhilASha-padaM vrajA~NganAnAm 
      abhilApakrama-dUramAbhirUpyam

[14.txt]

    hR^idi mugdha-shikhaNDa-maNDano 
      likhitaH kena mamaiSha shilpinA
    madanAtura-vallavA~NganA- 
      vadanAmbhoja-divAkaro yuvA

[15.txt]

    mahase mahitAya mauLinA 
      vinatenA~njalim a~njanatviShe 
    kalayAmi vimugdha-vallavI-
      valayAbhAShita-ma~njuveNave

[16.txt]

    jayati lalita-vR^ittiM shikShito vallavInAM 
      shithila-valaya-shi~njA-shItalairhasta-tAlaiH 
    akhila-bhuvana-rakShA-gopa-veShasya viShNoH 
      adhara-maNi-sudhAyAm aMshavAn vaMshanALaH

[17.txt]

    citrAkalpaH shravasi kalayan lA~NgalI-karNapUraM 
      barhottaMsa-sphurita-cikuro bandhujIvaM dadhAnaH
    gu~njA-baddhAm urasi lalitAM dhArayan hAra-yaShTiM 
      gopa-strINAM jayati kitavaH kopi kaumAra-hArI

[18.txt] 

    lIlA-yaShTiM kara-kisalaye dakShiNe nyasya dhanyAm
      aMse devyAH pulaka-rucire sanniviShTAnya-bAhuH
    megha-shyAmo jayati lalito mekhalA-datta-veNuH 
      gu~njApIDa-sphurita-cikuro gopa-kanyA-bhuja~NgaH

[19.txt]

    pratyAlIDha-sthitim adhigatAM prApta-gADhA~Nka-pAliM 
      pashcAdIShanmilita-nayanAM preyasIM prekShamANaH
    bhastrA-yantra-praNihita-karo bhakta-jIvAturavyAt 
      vAri-krIDA-nibiDa-vasano vallavI-vallabho naH

[20.txt]

    vAso hR^itvA dinakara-sutA-sannidhau vallavInAM 
      lIlAsmero jayati lalitAm AsthitaH kunda-shAkhAm
    savrIDAbhistadanu vasane tAbhirabhyarthyamAne 
      kAmI kashcit kara-kamalayora~njaliM yAcamAnaH

[21.txt]

    ityananya-manasA vinirmitAM 
      ve~NkaTesha-kavinA stutiM paThan
    divya-veNu-rasikaM samIkShate 
      daivataM kimapi yauvata-priyam

[Valedictory Tanian on Swami Desikan by Kumara Varadacharya]

    kavi-tArkika-simhAya        kalyANa-guNa-shAline
    shrImate ve~nkaTeshAya      vedAnta-gurave namaH