The top photo is obviously a Globemallow but which one. It is like a low-lying vine rather than the taller Desert Globemallow.
Bottom photo is Texas Stork's Bill. The leaf, interestingly enough, is similar to the globemallow above.
Erodium texanum, also known as Texas filaree, Texas stork's bill, or heronbill, is a flowering plant which is native to the southwestern United States and northern Mexico. It is an annual or biennial herb.