I cannot find anything about Theodore and Jane Dawkins Conklin in the 1850 census records. However, I did find a Theodore and Elizabeth Conklin in Perry at the Huntertown P.O., Allen Co. IN in 1860. There were:
Theodore age 37, born NY Elizabeth age 33, born OH Anna L. age 12, born IN (this looks like Jane's 1st child) Mary F age 10, born IN (Could this be Jane's 2nd child?) Kath age 3 mos, born IN Mary J, Thompson age 20, born OH (Elizabeth's sister?)
What information do you have about Theodore and Jane in 1850? Where were they living?What do you have about their child Mary F. who is in Theodore's family in 1860 at age 10? Since Jane died in 1855, the dates would indicate this is her daughter.