I'm not related.
I can confirm Barbe Louise Jaeger was born Dec 5, 1868 in Strasbourg to the parents you list (number 2565 for that year). Her father was 39 years old and the mother 40. You can look at the record for yourself for free at: http://etat-civil.bas-rhin.fr/adeloch/index.php
George and Barbe were married Dec 23, 1850 in Strasbourg (image 42). He was born Nov 17, 1829 in Hochfelden to George Jaeger , who died Dec 30, 1846 in all Maire, and Catharine Zwang. Barbe was born June 28, 1828 in all Maire to Francois Xavier Huber and Helene Devaux.
With a bit of research and a French/English dictionary you should be able to find considerably more. However, because you're dealing with a large city you have a lot of records to look through. Use the reddish volumes first, those are the indexes. The records for Hochfelden are considerably smaller so tracing the Jaeger side should be easier.
As for immigration records I would imagine the census indicates what year Louisa came to the U.S. Without knowing her married name I have no way of checking that for you.