Changing a 4 wire electrical cord to a 3 wire electrical cord for a range in a 1905 home
No.
You should follow the manufacturer's installation instructions, and install a 4-prong cord on the range.  You should never replace a 4-prong range receptacle, with a 3-prong.

As @JPhi1618 points out, it looks like your 4-prong receptacle is wired incorrectly.  The bare grounding wire should go to the green screw terminal, while the white &quot;neutral&quot; should go to the silver screw terminal.
Also as @JPhi1618 points out. If there's no grounding conductor in the cable feeding the receptacle, you'll have to address that issue separately.