Thanks for the link to the LDS site. The Chicago records are pretty good.
I will have a look at the diocese records to get a reference for her death.
It appears that I have this generation pretty well covered.
I found the death record for 3 child John in 1883 in Germany, so I will assume that 4th child Barbara did not make the boat. However neither is shown as dying in Burstadt.
The Burstadt Catholic records were compiled into a history book back 30 years ago and are very complete. It gives all the Landgraf births and they follows by a simple nach Amerika 1883.