The woman, aged in her 40s, was found at Shrewsbury Transport Ltd in Featherbed Lane in Shrewsbury, at about 08:00 GMT on Christmas Eve.
A 45-year-old man from Shrewsbury was arrested and has since been released on bail, West Mercia Police said.
A post-mortem examination is taking place.
The woman has not yet been formally identified, the spokesman said.

Instead of giving consent to cookies on every website they visit, users would be able to set general preferences.
The European Commission said the plans, which would also remove banners for non-intrusive cookies, would help to tackle an "overload" of such requests.
But experts warned the plans could harm advert-funded media, as well as platforms such as Facebook and Google.
Cookies are small files that download on to a user's device and enable tracking, sometimes to power advertising.
Since 2012, EU rules have required websites to tell users what cookies are being placed on their machine.
Typically, this meant a pop-up window seeking consent.
European Commission vice-president, Andrus Ansip, said it was now proposing simpler rules, "so that internet users do not have to click on a banner every time they visit a website".
"This way, people will be more in control of their settings," he said.
Under the plans, websites could read the cookie preferences set in users' browsers.
Also, banners would be scrapped for cookies that do not invade users' privacy, such as those remembering shopping cart history or counting website hits.
Last year, many internet companies called for the EU to scrap the so-called "cookie law", introduced in 2012.
However, the latest proposals could end up damaging online services and frustrate web users, according to a senior executive at a trade body that represents many of the world's biggest internet firms.
"The banners are certainly annoying. The question is whether they come up with something that's better or worse," said James Waterworth, vice-president of the Computer and Communications Industry Association.
He warned the proposals could harm a range of companies, from Facebook through to newspapers, if many users opted against allowing all but the least intrusive cookies.
"If this is done wrong and it's much harder to obtain permission, then it could have a serious impact on ad-funded services," he told the BBC.
Under the proposals, users could set a preference in their browser for the level of cookies to which they consent.
But they might also need to do this in every app and on every device they log in to, advertising companies have warned.
"People who thought cookie banners were annoying, will be disappointed to hear that things won't get better," said Townsend Feehan, chief executive of Interactive Advertising Bureau Europe.
The commission's proposals on privacy rules for electronic communications cover a range of areas, including:
The European Commission hopes to introduce the changes by May 2018, although experts warned that would be a tight timeline.
It comes less than a year after the EU introduced the Privacy Shield, which also set rules for tech companies on data protection and privacy.

Debbie Jevans made the comments after a tweet by World Rugby chief executive Brett Gosper said an early England exit was "not what they wanted to hear".
Jevans would be "very upset" if England failed to make it out of their group but not in an official capacity.
"From our perspective it doesn't make a difference," Jevans said.
"Of course you think about it when you look at the tough group England are in and the impact that may or may not have, but I think our job as an organising committee is to make sure that we deliver an event that is the best it can be."
The 48-match tournament begins on 18 September when England play Fiji at Twickenham.
Stuart Lancaster's side are also in the same pool as Australia, Wales and Uruguay and only two will make it through to the knockout round.
Wales head coach Warren Gatland, whose side are in the same group as England, said he was "surprised" by Gosper's comments.
Jevans says she would like an England versus New Zealand final but claims the tournament's success does not hinge on the hosts' performance.
"Our focus is not about who wins or is in the final," Jevans added.
"From a delivery perspective we are genuinely looking at it as delivering for 20 teams and making sure they can all compete to the best of their ability.
"Our biggest selling ticket so far has been Argentina v New Zealand so I am not at all concerned about England being the sole focus of the Rugby World Cup."
A man arrested on suspicion of murder after a woman's body was found at a Shropshire business has been released on bail.
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Plans to cut down on the "annoying" cookie banners that web users face have been released by the European Union.
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The chief executive of England's World Cup organising committee wants the hosts to make the knockout phase but says it's not essential for the event.