All 9 Uses

nevertheless
in
The Adventures of Tom Sawyer
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But she fled up-stairs, nevertheless, with Sid and Mary at her heels.†
Chpt 6 *

nevertheless = despite that (used to connect contrasting ideas)
And she hit his hand a smart rap, but reddened and looked pleased, nevertheless.†
Chpt 6
But he wrote it again, nevertheless; he could not help it.†
Chpt 16
But Tom was uneasy, nevertheless, and was alarmed to see Joe go sullenly on with his dressing.†
Chpt 16
Boys of his own size pretended not to know he had been away at all; but they were consuming with envy, nevertheless.†
Chpt 18
But she did see, nevertheless; and she knew she was winning her fight, too, and was glad to see him suffer as she had suffered.†
Chpt 18
But he was in a fine rage, nevertheless.†
Chpt 20
There were very few there who knew what "tete" meant, but the poem was very satisfactory, nevertheless.†
Chpt 21
His pity was moved, but nevertheless he felt an abounding sense of relief and security, now, which revealed to him in a degree which he had not fully appreciated before how vast a weight of dread had been lying upon him since the day he lifted his voice against this bloody-minded outcast.†
Chpt 33

Definitions:

(1) (nevertheless)
despite that

Based on idea 1 we might not expect idea 2, but this is a way of saying that even though idea 1 was just stated, we still have idea 2. Synonyms include in spite of that, despite that, nevertheless, nonetheless, on the other hand, in contrast and but.
(2) (meaning too rare to warrant focus)