There are actually two separate paths for deleting a saved address and saved location history.
This article will teach you how to do both.
This article contains instructions for both the Google Maps desktop site and mobile apps for Android and iOS.

Can You Delete Locations From Maps?
All mobile instructions in this article correspond to both the Android and iOS versions of Google Maps.
However, all screenshots were taken with the iOS app.

Here is the process for deleting an address on the desktop version of Google Maps:
Navigate toGoogle Maps.
nudge the three horizontal lines (hamburger menu) in the top-left corner.
tap the vertical dotted line to the right of a list item and selectEdit list.

Find the address youd like to delete and click theXsymbol.
initiate the Google Maps app.
Click theSavedtabfrom the horizontal menu at the bottom of the screen.

Find the address youd like to delete and tap theXsymbol.
How Do I Remove a Shared Location From Google Maps?
Toremove a location from Google Maps, follow the instructions below for your chosen unit.

Navigate to Google Maps.
smack the three horizontal lines in the top-left corner.
ClickAuto-deletefrom theMaps Activitymenu and set a date range by selectingAuto-delete activity older than.

Tap yourprofile picturein the top-right corner.
ClickDeleteto see the timeframe options you have.
Choose a date range and tapDeleteto confirm.
In the mobile app, tapSaved>Labeled>Home.
Toedit a location on Google Maps, choose a place and selectSuggest an edit.
To useGoogle Street View, selectLayers>More>Street Viewand drag thePegmanto a blue line on the map.
Google Maps will display a close-up view as if you were standing on the street.