I know that we Jews do not name children after living relatives, but I also read an account of naming practices somewhere (perhaps JewishGen) that listed that possibility. It could be a non-Jew's interpretation of 'bat' or 'ben'.
As for the last names, the name HAMMER has shown up in that line from the same geographical area. Perhaps HAMMER and KAMER are different spellings based on the confusion of how to interpret the Hebrew letter 'chet' in the Romanic alphabet, which is the supposition I'm using for now.
I'm not sure how to interpret the BROD/BRODIE confusion, but am continuing to research both names in hopes of finding a connection either here in the U.S. (and Canada) or in Poland/Ukraine.