It depend on where the baby sitting took place. If in your home then the IRS classifies you as self-employed and you report the income as self-employed income on schedule C. Only businesses issue 1099-Misc forms, individuals do not.
If you babysat in the child home then you were probably a household employee and if the income was more then $2,200 then the employer must issue a W-2 form (See IRS Pub 926 https://www.irs.gov/pub/irs-pdf/p926.pdf) .
If less than $2,200
Household Employee income under $2,200 should be reported in:
Miscellaneous Income
Other Income not reported on a W-2
Other wages (yes)
House Hold Employee.
OR Use the "Tools" menu (if online version under My Account) and then "Search Topics" for "household employee income” which will take you to the same place.
**Disclaimer: This post is for discussion purposes only and is NOT tax advice. The author takes no responsibility for the accuracy of any information in this post.**
