If you look closely at the photo detail I posted earlier, the cross street cannot be I (Eye) St. These old signs centered the street name between "St" and the quadrant. "I" would be too far to the left to be centered.

Source: Visited my daughter and noticed this.

My first thought was "E" but could be "H"

1931 Chevrolet

So the cross St is I Street because in DC, 1st street is spelled First. The next clue is the street we are on has a median. I St NW has a wide street near farragut square but the park does not show in the picture. I St. SW crosses a wide street at 7th but it curves and I dont see the Jefferson Middle School Building

That leaves I St NE and SE both of which cross Capitol
but those areas have totally been changed and rebuilt or torn down.

My guess is I St and Capital NE.

The street sign to the left of the car seems to say E (or possibly I) Street. The car itself appears to be on a boulevard with a very wide median, or where the street in the foreground intersects with the street visible at left at an acute angle a block or two down the road (behind the wreck).

Unfortunately, I'm not finding any locations that fit the bill.

I looked at Google Maps. Looks like it night be First and H Street.