From 球(たま) (tama) + 拾(ひろ)い (hiroi, “連(れん)用(よう)形(けい) (ren'yōkei, “stem or continuative form”) of the verb 拾(ひろ)う (hirō).”).
たまひろい • (tamahiroi) ←たまひろひ (tamafirofi)?