Hello Frank,
the german phone directory shows 2032 Meiners, mainly in north-west of Germany.
If your Meiners is catholic then could be she came from the Lingen area. The emigrants book of Lingen county shows one Meiners:
Meiners Jan Heinrich born about 1806 in Wettrup close to Lengerich, Heuermann, emigrated 1844.
Werner