Here are a few grant resources that might be of interest to you as you continue providing early literacy programs in your libraries. I will continue to add to this list as I find other grant resources.
Institute of Museum and Library Services Sparks! Ignition Grants for Libraries https://www.imls.gov/grants/available/sparks-ignition-grants-libraries?GrantId=19
Dollar General Literacy Foundation http://www2.dollargeneral.com/dgliteracy/Pages/index.aspx
Ezra Jacks Keats Foundation http://www.ezra-jack-keats.org/section/ezra-jack-keats-mini-grant-program-for-public-libraries-public-schools/