H.1.
I have a 15 month old also and I have just recently begun to stay at home with him. So, I have recently been seeking out fun, at-home activities as well! Here are some ideas that are working out well for us....
1. "Paint" the deck or driveway/parking lot corner with paintbrush and a bucket of water. Could also do chalk if you have an outdoor area of concrete.
2. I bought my son a cheap recorder ($2 at a dollar store, have also seen at Target for cheap) and he loves blowing in this. We also did a make shift drum and guitar (out of a square container with rubber bands.) He loves making music!
3. He LOVES playing with little pom pom things - not cheerleading type (although that sounds fun as well!) but the ones in craft stores/aisles - various colors and sizes and he likes to stuff them in and out of different containers of different sizes. This doesn't cost much and you can get different jars and tupperwares around the house!
4. Playing with colorful pipecleaners and I even cut small holes in an old container of baby puffs and he likes to try to stick them in there and then open the lid and pull them out. I got this idea watching him be super focused on sticking a straw in and out of a juice box!
5. spraying a squirt bottle and stuff around the house
6. "finger paint" with chocolate pudding in the high chair or in the bathtub - love to get messy!
7. build "houses" or tunnels out of cardboard boxes.
8. give ice cubes and let her "color" on construction paper in her high chair.
9. my son likes doing anything with ice cubes and a couple containers of water out on the deck!
All of these obviously require close supervision but are fun things to do together. Most cost very little to nothing! You sound like a GOOD MAMMA trying to find good activities for your little one, good for you. I don't know where youre located, but consider trying to find another stay at home mom or a moms group. Maybe its close enough for walking distance or maybe you can get brave and even try a bus (not that I would!) However, such interactions are great for you and your daughter.