You could a) disable \clearpage inside a group b) add a \chapter*{Bibliography} and patch \thebibliography so that it uses \section* instead of \chapter*.
EDIT: Added code to correct running headers for \section* (sub)bibliographies.
\documentclass{book}
\usepackage{etoolbox}
\makeatletter
\newcommand*{\patchthebibliography}{%
\patchcmd{\thebibliography}{\chapter*}{\section*}{}{}%
\patchcmd{\thebibliography}{%
\@mkboth{\MakeUppercase\bibname}{\MakeUppercase\bibname}%
}{%
\markright{\MakeUppercase\bibname}%
}{}{} %
}
\makeatother
\newcounter{firstbib}
\begin{document}
\chapter{foo}
Some text \cite{A01,B02}.
\renewcommand{\bibname}{Literary works}
\begin{thebibliography}{9}
\bibitem{A01} A. Author. \emph{Alpha}. 2001.
\setcounter{firstbib}{\value{enumiv}}
\end{thebibliography}
\begingroup
\let\clearpage\relax
\renewcommand{\bibname}{Web references}
\begin{thebibliography}{9}
\setcounter{enumiv}{\value{firstbib}}
\bibitem{B02} B. Buthor. \emph{Bravo}. 2002.
\end{thebibliography}
\endgroup
\begingroup
\patchthebibliography
\chapter*{Bibliography}
\markboth{\MakeUppercase{Bibliography}}{\MakeUppercase{Bibliography}}
\renewcommand{\bibname}{Literary works}
\begin{thebibliography}{9}
\bibitem{A01} A. Author. \emph{Alpha}. 2001.
\setcounter{firstbib}{\value{enumiv}}
\end{thebibliography}
\renewcommand{\bibname}{Web references}
\begin{thebibliography}{9}
\setcounter{enumiv}{\value{firstbib}}
\bibitem{B02} B. Buthor. \emph{Bravo}. 2002.
\end{thebibliography}
\end{document}
inchapterbibliography; it's basically just a clone ofthebibliographywith\chapter*replaced by\section*. some books have both kinds of reference lists, so it's handy to be able to make the choice. (this feature is on the list to be added toamsbookin the next upgrade, not yet scheduled.) – barbara beeton Jan 02 '12 at 14:12\newcommandcode. Then, I inserted\patchthebibliographyat the beginning of the file with the manual bibliographies. That was all it was needed. – marw Jan 17 '12 at 11:13