I've decided since there seems to be issues finding a host that will support Mysidia Adoptables Script. This will be an ongoing project, but basically I'll sign up for a free host that says it will support PHP and upload the script and see if it works. Then I'll come here and add it with a short review. So wish me luck!
0000free.com - Unknown
Features
Disk Space: 1000MB
Bandwidth: 10GB
Forced Ads/Own Ads: No/Yes
Cron Jobs/GD/FTP: Yes/Unknown/Yes
Databases/PhpMyAdmin: 3/Unknown
Total Support: Unknown
Cons: The signup was complex, and I did not actually sign up because they require a lot more personal information about location. If someone uses this host, please let me know how it is.
000webhost.com - Full Support
Features
Disk Space: 1500MB
Bandwidth: 100GB
Forced Ads/Own Ads: No/Yes
Cron Jobs/GD/FTP: Yes/Yes/Yes
Databases/PhpMyAdmin: Yes/Yes
Total Support: Yes
Cons: The FTP is slow, and there are small sessions of down time or slow time but this is somewhat unusual.