How to create an index of songs in the Songs package using Texmaker?

Question

I cannot install the package with the MikTex setup and I have tried to add some "own" songs to the sample document, as instructed in the guide. My songs and authors do not get included though - even if I build more than once.

How do I (from scratch) get an index of songs (maybe also authors) included in my document? And while we are at it, how do I include a table of contents that contains the song sections and an ordered list of the songs in each song section, in order as they appear in the song book?

I have the following structure of the tex file:

\documentclass[a5paper,twoside,article, landscape, twocolumn]{memoir}
\usepackage[utf8]{inputenc}
\usepackage[danish]{babel}
\usepackage[T1]{fontenc}
\usepackage[lyric]{songs}
\usepackage[bookmarks]{hyperref}


\setlength{\oddsidemargin}{0in}
\setlength{\evensidemargin}{0in}
\setlength{\textwidth}{7in}
\setlength{\topmargin}{0in}
\setlength{\topskip}{0in}
\setlength{\headheight}{0in}
\setlength{\headsep}{0in}
\setlength{\textheight}{4.1in}
\settowidth{\versenumwidth}{1.\ }
\pagestyle{empty}


\begin{document}

\begin{songs}{}


\beginsong{Velkommen igen, Guds engle små}
    [by={N F S Grundtvig, A P Berggreen}]
    \beginverse
        Velkommen igen, Guds engle små,
        ...
    \endverse
    
    \beginverse
        Velkommen igen, Guds engle små,
        ...
    \endverse
    
    \beginverse
        Vor hytte er lav og så vor dør,
        ...
    \endverse
\endsong

\beginsong{Dejlig er den himmel blå}[by={Louis Bourgeois and Thomas Ken},
                 sr={Revelation 5:13},
                 cr={Public domain.}]
    \beginverse
    Dejlig er den himmel blå
    ... 
    \endverse
    \beginchorus
      Os fra jorden op til sig
      Os fra jorden op til sig
    \endchorus
\endsong

 \end{songs}

 \end{document}

Based on that how do I get a list of songs in the order of appearance in the document, like:

1. Velkommen igen, Guds engle små
2. Dejlig er den himmelblå

and at the end of the document, an index with the songs by alphabetical order, with page numbers