\documentclass[11pt, oneside]{article}
\usepackage[T1]{fontenc}

\input glyphtounicode.tex
%\input glyphtounicode-cmr.tex
\input{glyphtounicode-lin.tex}
\pdfgentounicode=1
\pdfglyphtounicode{a.sc}{1D00}
\pdfglyphtounicode{agrave.sc}{1D00 0300}
\pdfglyphtounicode{aacute.sc}{1D00 0301}

% uncomment these, to see how all characters are affected
%\pdfglyphtounicode{a}{1D00}
%\pdfglyphtounicode{agrave}{1D00 0300}
%\pdfglyphtounicode{aacute}{1D00 0301}
%

\usepackage[type1]{libertine}%

\begin{document}
A a \`A \`a \'A \'a \quad
\textsc{A a \`A \`a \'A \'a }
\end{document}


Copy/Paste gives:  AaÀàÁá AaÀàÁá

uncommenting gives:   AᴀÀᴀ̀Áᴀ́ AᴀÀᴀ̀Áᴀ́

These results indicate that entries for names qualified with  *.sc  are being ignored,
in favour of the unqualified names.