Dear M.,
I just finished production on a video documentary on lead paint for paint/renovation contractors and am in the process of expanding it for air on Public Television, so yes, I know a lot about lead paint exposure.
The short answer is, any house/building built before 1978 has lead paint in it.
Families live in homes with lead paint all the time. You just have to know how to do it safely. Children your daughter's age ingest lead paint dust created by friction from rubbing surfaces, like windows. Children over the age of six are far less susceptible.
You need to follow instructions on how not to create more lead dust and how to clean the surfaces she's coming in contact with. This is manageable - millions of families do it all the time.
One key here is remediation of the lead paint. Whether you or your property owner wind up dealing with the grant and the renovation, DON'T DO IT YOURSELF. FIND A CONTRACTOR WHO CAN PROVE HE'S CERTIFIED IN SAFE WORK PRACTICES. Actually, receiving the grant may depend on that. The EPA is issuing a new mandate next spring on lead paint removal. Failure to comply can mean being in federal violation.
Feel free to let me know if you have any more questions. You can also watch the documentary as it's shown now to contractors on youtube by searching Indiana Lead Paint. It comes up in two parts.
Best,
S.