There are at least four Lydias that could fit here. My favorite is a daughter of Jonathan N. Cripe and Lydia Frances Atchison (yes, because of the second name). Jonathan came from Walkerton which is, as I see it, quite close to South Bend. His line is Jacob-Daniel-Rhinehart. They married in 1862.
My remaining Lydias from Indiana are the daughters of Jacob and Elizabeth Frantz (oo 1844 in Wabash Co.), Levi M. and Rebecca Pippenger (oo ca. 1860 in Elkhart Co.), and Daniel and Anna Baker (oo 1845 in Clinton Co.).