Site not showing up in Google searches

Site URL: https://baldwinhillcemetery.org/

Hi,

We have recently published our site, yes cannot get it to show up (at least not consistently) in google searches. 

We do show up fine when searching directly (site:).

Google apparently is collecting analytics, etc.

Not sure what sort of troubleshooting to perform, or whether this just takes time.

As an example of the issue: if you type 'baldwin hill cemetery' which is literally the title of the website and the domain, it doesn't show up in results. It did show up once as result 4 or 5, but next time I tried it was gone again.

Any advice appreciated.