  We introduce quaternary Legendre pairs of length $\ell$. In contrast to
binary Legendre pairs they can exist for even $\ell$ as well. First we show
that they are pertinent to the construction of quaternary Hadamard matrices of
order $2\ell+2$ and thus of binary Hadamard matrices of order $4\ell+4$. Then
for a prime $p>2$ we present a construction of a pair of sequences of length
$p$ from which we can derive quaternary Legendre pairs of length $\ell=2p$ by
decompression for $p=3,5,7,13,19,31,41$. Moreover, we give also constructions
of Legendre pairs of length $\ell$ for all remaining even $\ell\le 24$.
