 Rayi”l Frumkin (Toldot HaChamey Jerusalem, third part page 72) recounts that R Haim that immigrated to Eretz Israel was the son of Rabbi Haim , the son-in-law of Rabbi Shabtai Hefetz from Vilna and grandfather of Rabbi Yitzchak Elyiahu Landa.According to the text exposed at the Vilna synagogue in the archeologic excavation, conducted by Dr Yohanan Zeligman, the couple Rabbi Haim and Sarah emigrated from Vilna to Tiberias, from there they moved to Jerusalem where they passed away.Sarah on 1782 and Haim on 1786.