id never even HEARD of chik-a-whosayamacallit until i went delving. im learning so much from these forums!
so, they really arent open on sundays? isnt that un-american? 
Chick-fil-A is indeed NEVER open on Sundays - in fact, if their products are SOLD on a Sunday (long story, but they can be sold through other channels) and it's found out, an operator (the franchise owner) can and will forfeit his unit and no longer work for them.
I dunno about un-american, but I DO know that they generally do more in sales in 6 days than most others in that same area do in 7 days...they've not been open on a Sunday since Truett opened the original, and as long as he's alive, they will continue the practice. After he passes, I wonder if that will continue. There are many many things they were first in - Food courts nationwide owe their existence to them, nuggets were first made by them, strips ditto...excellent company to work for, and if they come back to my area, I'd be back on board toot-sweet.
Never thought to google the cow, but what'd you look under? The cow was the generic promo one, unless you have some superman glasses that allowed you to see the small as heck CFA logo!