Instead of using a separate \note command to introduce the footnotes, it's better to use the footmisc package which has a hook for formatting the footnotes. Then if you ever need to change the footnotes to single spacing you don't need to change all your \footnote commands. It's not clear from your question what kind of spacing you want between two footnotes. In the example below I've make the space a single blank line by setting the length of \footnotesep.
\documentclass[12pt,letterpaper,leqno]{article}
\usepackage{setspace} % load setspace before footmisc
\usepackage{footmisc}
\setlength{\footnotesep}{\baselineskip} %use 1.67\baselineskip for a double space
\makeatother
\newcommand\lipsum{This is some text that will take up some space so that we can
test if the doublespacing is working correctly.}
\renewcommand{\footnotelayout}{\doublespacing}
\begin{document}
abcde\footnote{\lipsum}
ABEDE\footnote{This is the second footnote.}
foobar\footnote{Another footnote.}
\end{document}
