In 1842, Democrat Wilson Shannon and Whig candidate Thomas Corwin were running for governor of Ohio. The two parties were fiercely divided over banking. Democrats wanted the establishment of local banks while Whigs preferred a more powerful centralized banking system. The two became even more cleft after Congress passed the Apportionment Act of 1842, requiring states with more than one Representative to elect them from separate districts of contiguous territory. Whigs were against this bill as they believed Democrats proposed it to gerrymander the state in favor of their party.
After further research, I found that the Democrats wanted to (figuratively) add these "creatures", or congressional districts, to their menagerie while the Whig party wanted them gone altogether. The Whigs used these images in newspapers throughout Ohio to showcase what they believed to be the Democratic Party's corrupt actions. Follow the Ohio History Host link below to see more examples like the article above!
Sources:
http://www.ohiohistoryhost.org/ohiomemory/archives/1333
http://www.ohiohistorycentral.org/w/Wilson_Shannon
http://www.ohiohistorycentral.org/w/Robert_C._Schenck
http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=55112428