Vining: VINE – ing
Viola: VAI-oh-luh (first syllable gets the accent and rhymes with "eye")
Wapello: WAAH–puh-lo
Wapsipinicon: wahp-si-PIN-ih-con [final syllable is often a "schwa"]
Wever: WEE-ver (like "Weaver")
What Cheer: I have heard four variants from current residents in September, 2015: 1) whuh-cheer (no "t" sound, syllables connected); 2) What Cheer (WITH the "t" sound, as in the ordinary pronunciation); (3) Wah- cheer (first syllable almost like "wha-wha"), 4) WAT cheer