Multiple meanings for 'tits' are also a consideration. (Maybe my monitor or eyes suck, but I had to do a tits vs fuck only ngram search to see that the big spike is in fact tits.)
Yes, a quick look at the actual search hits shows that most of these books are in fact about birds, and a couple hits are citations and refer to a last name.
(And most of it does in fact seem to be for wrongly-OCRed "suck", unsurprisingly.)