.lightbox{
display:none;
}

<a href="#" class="ExibirLightBox">Exibir</a>

<div class="lightbox>
// Conteudo do lightbox
</div>

$(document).ready(function (e) {
        $('.ExibirLightBox').hover(function (e) {
            $(".lightbox").css("display", "block");
        }
    )
    });

<div class="tooltip">I am a tooltip!</div>