After new Win 7 install - msg: Operating System Not Found

@GREGROCKER, I followed as close as my system would allow.
The BIOS does not me allow a one time boot of a device. I left the boot list as default with the following order:
Disk
DVD
Network
USB

If I have the USB installed it eventually finds it and allows me to boot from that device or, after install has completed, from the disk.

It's my sisters computer so no recovery disk (either she never made one or she lost the one it came with or both).
Am using the ISO image from heidoc.net so can make a bootable USB or DVD.
I will try the following then update the post:
1. before each install >diskpart clean
2. try with USB stick and remove it on first reboot.
3. create bootable install DVD and try the install.
4. follow SSD / HDD : Optimize for Windows Reinstallation and perform the installation.

The one-time BIOS Boot Menu key on eMachine is f10.

Since you have DVD support then burn a DVD using a fresh ISO for your licensed version from Clean Reinstall - Factory OEM Windows 7.

Follow all of the steps in the tutorial to get and keep a perfect install.

OK, I have tried the above suggestions always with a >diskpart clean all and reboot between..
1. Downloaded and made a USB and DVD boot disk with X17-58997.iso image. Cannot install
with error msg "setup was unable to create a new system partition or locate an existing system partition.."
This was after the install with and without using the eficfg tool.
2. Downloaded and made a USB and DVD boot disk with X15-65733.iso (RTM) image.
From USB without the eficfg tool being run, install works but then no reboot without the USB plugged in.
USB and DVD with eficfg tool same message as above.
Looking at the log files with wrong partitions the drive passes all install reqs but gets a warning message:
Computer Hardware may not support booting to this disk. Ensure that the disk controller is enabled in the computer
BIOS menu.

I have also tried using diskpart to manually create the system reserved part at 200 MB made active
and a 100 Gb for O/S. all to no avail.

Unplug all other HD's and peripherals,

Boot into BIOS setup, reset to defaults, save changes. If an EFI BIOS you'll need to decide if you want UEFI BIOS vs. Legacy BIOS. If UEFI follow these special steps for Install, otherwise enable Legacy BIOS or Compatibility Support Module to proceed with normal install:

Set DVD drive first to boot, HD second, set SATA controller to AHCI, Save changes and Exit.

Then boot into Windows 7 installer DVD or flash stick burned or written using tool and latest ISO for your licensed OS version here. I would use a fresh ISO written with tool in Step 2 as yours is in question.

At first installer screen Press Shift + F10, or enter System Recovery Options to open a Command Box, type:

DISKPART
LIST DISK
SELECT DISK 0 (after confirming Windows 7 target HD #)
CLEAN
CREATE PARTITION PRIMARY
FORMAT FS=NTFS LABEL="WINDOWS 7"
ACTIVE
EXIT
EXIT

Next click Install Now, then Custom install to Clean Install Windows 7 to the partition you created. If it fails then report back at which step and the verbatim error message.

In addition read over these steps to understand the tools and methods which work best to get and maintain a perfect Clean Reinstall - Factory OEM Windows 7. The steps are the same for retail.

After install you can adjust partition size or Create new partitions for data, etc. in Disk Mgmt. You are creating the partition here for the purpose of wiping the HD and marking Active which overcomes certain install failures.

If these steps all fail, then test the HD with the maker's HD Diagnostic extended CD scan.

Right, I have installed in various different ways as previous posts suggested and many/all other ways that
I could come up with myself. If I use diskpart to make partitions one partition is always active (The 100 or 200 Mb)!
The BIOS is Phoenix V1.18 (The latest available which I upgraded as I though that might have been the problem).
It's a pretty basic BIOS. No UEFI support. No switch for legacy or compatibility support.
SATA Mode is set to AHCI (although for giggles I tried it in IDE mode, didn't work so set it back to AHCI).
It's a laptop with no other devices attached unless booting from the USB stick. Therefore 1 x SATA Drive and
1 x Internal ATAPI DVD Drive (no other devices to disconnect).
Boot Order is as follows (default):
HDD
DVD
Network
USB HDD
(Again, I have messed around with the boot order and it makes no difference to the outcome. It does
perform as expected to a degree and boots from the first available boot source but never the HDD so is
back to default now).
Latest steps taken as per GREGROCKER:-
I have re-downloaded Windows Home Premium x64 SP1 U (Media Refresh), image X17-58997.iso
I have ran the eicfg remove tool on this image
I have created a new bootable USB stick
Used the 1 time boot option (F10) to select the USB HDD
From the first install screen hit shift F10 for cmd window then:
DISKPART
LIST DISK
SELECT DISK 0 (after confirming Windows 7 target HD #)
CLEAN
CREATE PARTITION PRIMARY
FORMAT FS=NTFS LABEL="WINDOWS 7"
ACTIVE
EXIT
EXIT

Install worked but problem still exists on reboot.
"Operating System not found"

Test your HDD.

Try DVD install.

Disk 1 is my USB memory stick with a bootable ISO image.

If I try to use the DVD I never get the chance to install as I get the message:
"Windows cannot be installed to Disk 0 Partition 1"
Same message with two different DVD Bootable ISO images (X17-58997.iso and X15-65733.iso) created
using the using the Windows USB DVD Download tool.