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Numeric overflow

Hello, again!  A big thanks to the helpers out there.  Here's a spin off
of  previous question.  I have data set that is a series of nested x,y
values, {{x,y},{x1,y1}} that I'm attempting to fit using the
NonlinearFit function.  What I have written is:

lamda =(NonlinearFit[newlist[[#]],c+ b Exp[-a x],{x},{a,b,c}]&)/@

where I'm applying NonlinearFit to several sets of data using the Map
function (written in full form here).  I've got the function specified
along with the variables I'm trying to fit.  When I run the line, I get

    "Warning: numeric overflow occurred during this search.  This may
mean \ that the search is starting from an inappropriate point, that
the model is \ unstable, or that insufficient precision is being used
for these \ calculations. The returned parameter estimates may not
minimize the sum of \ squares."

and no output.  What am I missing - besides a six-pack, that is?  Have a
great weekend!

Paul Hanson

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