The city is not following the required procedures and that makes a difference.
955.01. Requirement to cut weeds.
(a) The following conditions provide harborage and breeding grounds for pests that are an immediate threat to human health, are therefore declared to be nuisances
which shall be removed or abated from any property on which they are found:
(1) Grass over eight (8) inches in height;
You were required to receive notice pursuant to
955.02. Notice to cut weeds.
(a) Upon determination of the Director of Inspection that noxious weeds and/or grasses are growing on lots and lands within the City and are about to spread or mature seeds, the Director of Inspection may cause a notice to be mailed to the last known address of the owner of each parcel of land or cause a notice to the owners of such lots or lands to be served upon such owner or owners by publication of the notice once a week for two consecutive weeks in a newspaper of general circulation within the City, notifying such owner or owners that such noxious weeds and/or grasses are growing upon such lots or lands and that they must be cut and destroyed within five days after completion of publication. The aforesaid publication shall be sufficient if addressed generally to all such owners and shall be complete on the date of the second publication.
If the proper notice had been provided by the city had the right to come onto your property and cut the grass. They would not have the right to act in a negligent manner.
In your case your grass was below the height required and the city did not provide the proper notice and therefore you have a case.
That being said, if the city was negligent in the process if mowing your lawn you can file a complaint to be reimbursed for the cost of replacing your flowers and or bushes.
What I find a little disturbing is that you were in the process of mowing the lawn when this occurred and no one will return your calls. Your Mayor and council members are elected officials. You may wish to let the Mayor know that your phone calls were left unanswered at http://toledo.oh.gov/government/mayors-office/
Depending on the district that you are in your would contact your city council person at http://toledo.oh.gov/government/elected-officials/
If the city does not take responsibility for the damages
they caused you may wish to contact a land use attorney to write a letter on your behalf. I have found that a letter from an attorney to the city to be an amazing motivator.
Many land use attorneys provide free consultations http://lawyers.findlaw.com/lawyer/firm/land-use-zoning/toledo/ohio
If you have any additional questions please do not hesitate to let me know.
If you would be kind enough to rate my service so I may receive credit for my work I would appreciate it.